{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "#  人工智能第四周基础作业 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\n",
    "# -*- coding:utf-8 -*-\n",
    "import sys\n",
    "#reload(sys)\n",
    "#sys.setdefaultencoding(\"utf-8\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np # linear algebra\n",
    "import pandas as pd # data processing, CSV file I/O\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "from sklearn.metrics import r2_score\n",
    "\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.00632</td>\n",
       "      <td>18</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1</td>\n",
       "      <td>296</td>\n",
       "      <td>15</td>\n",
       "      <td>396.90</td>\n",
       "      <td>4.98</td>\n",
       "      <td>24.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.02731</td>\n",
       "      <td>0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.14</td>\n",
       "      <td>21.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.02729</td>\n",
       "      <td>0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17</td>\n",
       "      <td>392.83</td>\n",
       "      <td>4.03</td>\n",
       "      <td>34.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.03237</td>\n",
       "      <td>0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18</td>\n",
       "      <td>394.63</td>\n",
       "      <td>2.94</td>\n",
       "      <td>33.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.06905</td>\n",
       "      <td>0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.33</td>\n",
       "      <td>36.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CRIM  ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD  TAX  PTRATIO  \\\n",
       "0  0.00632  18   2.31     0  0.538  6.575  65.2  4.0900    1  296       15   \n",
       "1  0.02731   0   7.07     0  0.469  6.421  78.9  4.9671    2  242       17   \n",
       "2  0.02729   0   7.07     0  0.469  7.185  61.1  4.9671    2  242       17   \n",
       "3  0.03237   0   2.18     0  0.458  6.998  45.8  6.0622    3  222       18   \n",
       "4  0.06905   0   2.18     0  0.458  7.147  54.2  6.0622    3  222       18   \n",
       "\n",
       "        B  LSTAT  MEDV  \n",
       "0  396.90   4.98  24.0  \n",
       "1  396.90   9.14  21.6  \n",
       "2  392.83   4.03  34.7  \n",
       "3  394.63   2.94  33.4  \n",
       "4  396.90   5.33  36.2  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "# path to where the data lies\n",
    "#dpath = './data/'\n",
    "df = pd.read_csv(\"boston_housing.csv\")\n",
    "\n",
    "#通过观察前5行，了解数据每列（特征）的概况\n",
    "df.head()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. 对连续型特征，可以用哪个函数可视化其分布？（给出你最常用的一个即可），并根据代码运行结果给出示例。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 直方图\n",
    "seaborn的distplot方法可以对数值型特征绘制直方图（distribution plot）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAENCAYAAAAIbA6TAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAIABJREFUeJzt3Xd4VNeZ+PHvq96RkASoIYliML2I\n6hrHiQEXEjtx3Fs2xI6dTXazqZtN2WSz2d/upjhxTIhbXGLWNcY2CcY2uFGMhOkgEEJCQkINIZCE\n+vn9ca/ssTySRtJId8r7eZ55NPfec+e+RzN6defcc88RYwxKKaWCR4jTASillBpZmviVUirIaOJX\nSqkgo4lfKaWCjCZ+pZQKMpr4lVIqyGjiV0qpIKOJXymlgowmfqWUCjJhTgfgTkpKisnJyXE6DKWU\n8hsFBQW1xphUT8r6ZOLPyckhPz/f6TCUUspviEipp2W1qUcppYKMR4lfRJaJSKGIFInI99xsFxG5\n396+R0Tm2euniMgul8cZEfmmtyuhlFLKc/029YhIKPAA8BmgHNghIuuMMQdcii0HJtuPRcCDwCJj\nTCEwx+V1TgAverUGSimlBsSTM/6FQJExptgY0wasBVb2KLMSeNxYtgGJIpLWo8yngaPGGI/boZRS\nSnmfJ4k/AyhzWS631w20zA3A070dRERWiUi+iOTX1NR4EJZSSqnB8CTxi5t1PWdv6bOMiEQA1wDP\n9nYQY8waY0yeMSYvNdWjHklKKaUGwZPEXw5kuSxnAhUDLLMc2GmMqRpMkEoppbzHk8S/A5gsIrn2\nmfsNwLoeZdYBt9m9exYDDcaYSpftN9JHM49SSqmR02+vHmNMh4jcB2wAQoFHjDH7ReRue/tqYD2w\nAigCmoE7u/cXkRisHkFf9X74SimlBsqjO3eNMeuxkrvrutUuzw1wby/7NgPJQ4hRBai/bD/e67ab\nFo0fwUiUCi56565SSgUZTfxKKRVkNPErpVSQ8cnROZXqq/2/P3p9QKm+6Rm/UkoFGU38SikVZDTx\nK6VUkNE2fhVw+rs+oNcAVLDTM36llAoymviVUirIaOJXSqkgo4lfKaWCjCZ+pZQKMpr4lVIqyGji\nV0qpIKOJXymlgowmfqWUCjKa+JVSKsho4ldKqSCjiV8ppYKMJn6llAoyHiV+EVkmIoUiUiQi33Oz\nXUTkfnv7HhGZ57ItUUSeE5FDInJQRJZ4swJKKaUGpt/ELyKhwAPAcmAacKOITOtRbDkw2X6sAh50\n2fZb4O/GmKnAbOCgF+JWSik1SJ6c8S8EiowxxcaYNmAtsLJHmZXA48ayDUgUkTQRSQAuBh4GMMa0\nGWNOezF+pZRSA+RJ4s8AylyWy+11npSZANQAj4rIByLykIjEujuIiKwSkXwRya+pqfG4AkoppQbG\nk8QvbtYZD8uEAfOAB40xc4Em4BPXCACMMWuMMXnGmLzU1FQPwlJKKTUYniT+ciDLZTkTqPCwTDlQ\nbozZbq9/DusfgVIDUtfYyqbCaoprG50ORSm/58mcuzuAySKSC5wAbgBu6lFmHXCfiKwFFgENxphK\nABEpE5EpxphC4NPAAa9FrwLesdom3j1Sw6GTZz/8mjl1XDxXTB/H2IQoR2NTyl/1m/iNMR0ich+w\nAQgFHjHG7BeRu+3tq4H1wAqgCGgG7nR5ia8DT4lIBFDcY5tSvTpQ0cCT248TExHKpVNSmZ89mr0n\nGthcWM39bxzhc3MzWJAz2ukwlfI7npzxY4xZj5XcXdetdnlugHt72XcXkDeEGFUQOtXUxnM7y8lI\njOYrF00gIsxqlbzkvFTyspN4esdxXt1TyaQxcSTFRDgcrVL+Re/cVT6no7OLp98/DsCNC8d/mPS7\nxUaGcd28TABe2nUC67xDKeUpTfzK56zfd5ITp89x3bxMRse6P5tPiongM9PGcriqkd3lDSMcoVL+\nTRO/8inFtY1sK67jgonJTE8f1WfZJROTyUyK5pU9FTS1doxQhEr5P038yqe8eaiauMgwPjt9XL9l\nQ0S4dm4mLe2dvHGoegSiUyowaOJXPqO0ronimiYumpxCeKhnH81xo6KYlZnIB8fraevoGuYIlQoM\nmviVz9hUWE1MRCiLcpMHtN+CnNG0dnSx94S29SvlCU38yieU1zdzuKqRCyelfKIXT39ykmNIiYtk\nR8mpYYpOqcCiiV/5hE2FNUSHh7J4wsDO9gFEhAU5SRw/1UzVmZZhiE6pwKKJXznu5JkWDlaeYenE\nZKLCQwf1GnPHJxEqQr6e9SvVL038ynHvHztFWIiwZBBn+93iIsOYlp7AzuOnae/Ui7xK9UUTv3JU\ne2cXu8rqmZaeQEykRyOI9GpBzmjOtXeyv+KMl6JTKjBp4leO2l9xhpb2LvKyhz7Y2oTUWJJiwtlV\nVu+FyJQKXJr4laPyS06RFBPOhFS3E7MNSIgI09ISOFrTRGtHpxeiUyowaeJXjqlrbKW4tom8nNGE\niLtJ3AZualoCnV2Go9VNXnk9pQKRJn7lmILSegSYNz7Ja6+ZkxxLZFgIh05qO79SvdHErxzR0dlF\nwfF6zhsbz6jocK+9bmiIcN7YeAqrztKlwzUr5ZYmfuWItw7XcLalg7wc753td5s6Lp6zLR1UnD7n\n9ddWKhBo4leOeGlXBdHhoUwZF+/11z5vbDwCHDp51uuvrVQg0MSvRlxzWwcbD1QxI2MUYSHe/wjG\nRoaRNTqGQk38SrmliV+NuNcPVnOuvZPZmX1PtDIU54+L58Tpc5w51z5sx1DKX2niVyNu3a4KxiZE\nkpMy9L77vZmSlgBAYZWe9SvVk0eJX0SWiUihiBSJyPfcbBcRud/evkdE5rlsKxGRvSKyS0TyvRm8\n8j8Nze28dbiaq2ale63vvjtj4yNJjAnXdn6l3Og38YtIKPAAsByYBtwoItN6FFsOTLYfq4AHe2z/\nlDFmjjEmb+ghK3/29/2VtHcarpmdPqzHEREmj4njWG2jdutUqgdPzvgXAkXGmGJjTBuwFljZo8xK\n4HFj2QYkikial2NVAWDd7gqyk2OYNYzt+91yU+Joae+iskHH6FfKlSeJPwMoc1kut9d5WsYAr4lI\ngYisGmygyv9Vn21h69E6Vs5OR4axmadbrn0N4VhN47AfSyl/4knid/cX2vO7c19lLjDGzMNqDrpX\nRC52exCRVSKSLyL5NTU1HoSl/M36PZV0Gbh6mJt5uo2KDic5NoLiWh23RylXniT+ciDLZTkTqPC0\njDGm+2c18CJW09EnGGPWGGPyjDF5qampnkWv/MqreyuZOi6eyWO9f9NWbyakxlJS16Tt/Eq58CTx\n7wAmi0iuiEQANwDrepRZB9xm9+5ZDDQYYypFJFZE4gFEJBb4LLDPi/ErP3GyoYUdJfVcOXNkL/1M\n6G7nP63t/Ep163fKI2NMh4jcB2wAQoFHjDH7ReRue/tqYD2wAigCmoE77d3HAi/a7blhwF+MMX/3\nei2Uz/vbvkoAVswa2cTf3c5fXNtIRlL0iB5bKV/l0Vx3xpj1WMnddd1ql+cGuNfNfsXA7CHGqALA\nq3sqOT8tgYmpcSN63ITocFLiIjhW28RFk7UJUSnQO3fVCKhsOEd+aT1XzhznyPFzU+I4Vqvt/Ep1\n08Svht36vScBWDHC7fvdJqTE0trRpcM0K2XTxK+G3at7KpiWlsCEEW7m6fZhf37t1qkUoIlfDbOK\n0+fYefw0V47wRV1X3e38xTWa+JUCTfxqmK3fa/XmGelunD3lJMdSekrb+ZUCTfxqmL28p5IZGQnD\nOgSzJ7KTY2lp76L6bKujcSjlCzTxq2FTdqqZ3WWnuWrWyAzR0Jfs5BgASuu0uUcpTfxq2Ly8xxrZ\nw+lmHoDk2AhiI0I5XtfsdChKOU4Tvxo2r+yuZO74RLJGxzgdCiJCdnIspac08SuliV8Ni6M1jRyo\nPOMTzTzdspNjONXURo2286sgp4lfDYtXdlci4hvNPN3G2988CkrrHY5EKWdp4ldeZ4zh5T0VLMgZ\nzbhRUU6H86GMxGjCQoSC0lNOh6KUozTxK68rrDpLUXUjVzt405Y7YaEhZCRGk69n/CrIaeJXXvfy\n7gpCBJb7UDNPt+zkGPadaKClvdPpUJRyjCZ+5VVdXYaXdlVwwaQUUuIinQ7nE7KTY2nvNOw90eB0\nKEo5RhO/8qqC4/WU15/j2nkZTofiVvcF3vwSbe5RwUsTv/KqF3aeIDo8lM9Oc2bs/f7ERoYxISVW\nL/CqoKaJX3lNa0cnr+6p4IrpY4mN9GhyN0fMz06ioLQeowO2qSDlu3+dyu9sOlTDmZYOPjfXaub5\ny/bjDkfk3vzsJJ4tKOdYbZNjcwQo5SQ941de89cPTpASF8mFk1KcDqVP87OTANh5/LTDkSjlDE38\nyisamtt581A118xOJyzUtz9WE1PjSIgK0zt4VdDy6C9URJaJSKGIFInI99xsFxG5396+R0Tm9dge\nKiIfiMgr3gpc+Zb1+ypp6+zi83N9szePq5AQYe74JHZq4ldBqt/ELyKhwAPAcmAacKOITOtRbDkw\n2X6sAh7ssf0bwMEhR6t81vMF5UxMjWVGRoLToXhkfnYSh6vPcqal3elQlBpxnpzxLwSKjDHFxpg2\nYC2wskeZlcDjxrINSBSRNAARyQSuBB7yYtzKhxRVN5JfWs/1eVmIiNPheGTe+CSMgV3azq+CkCeJ\nPwMoc1kut9d5WuY3wHeArkHGqHzcswVlhIYIn/fRm7bcmZ01ihDRkTpVcPIk8bs7hevZAdptGRG5\nCqg2xhT0exCRVSKSLyL5NTU1HoSlfEF7ZxfPF5zgU1PGMCbed0bi7E98VDhTxiWw87gmfhV8POnH\nXw5kuSxnAhUelvkCcI2IrACigAQRedIYc0vPgxhj1gBrAPLy8vTOmhHUV3/7mxaN73PfzYU11Da2\n8qUFWX2W80XzxieyblcFnV2G0BD/aKJSyhs8OePfAUwWkVwRiQBuANb1KLMOuM3u3bMYaDDGVBpj\nvm+MyTTG5Nj7veku6Sv/9Ux+GSlxkVw6JdXpUAZsfnYSZ1s7OFJ91ulQlBpR/SZ+Y0wHcB+wAatn\nzjPGmP0icreI3G0XWw8UA0XAn4CvDVO8yodUn23hzUPVXDc/g3Af77vvzoc3cpXqBV4VXDwassEY\nsx4rubuuW+3y3AD39vMam4HNA45Q+awXd56gs8vwxfn+18wD1kidybERFJTW99ukpVQg8b/TNOUT\nuroMa3eUkZedxKQx/jnejYgwLztJL/CqoKOJXw3KlqN1HKtt4ubF/n2mPD87iWO1TdQ1tjodilIj\nRhO/GpSntpeSFBPO8hm+N73iQCzIsdr5d+jELCqIaOJXA1Z1poXXDlTxxbwsosJDnQ5nSGZkjCIi\nLIT8Ep2YRQUPHY9f9cldH/83DlXR2WWI9+HJVjwVGRbKnKxEdugdvCqI6Bm/GpDOLsOOY6eYPCaO\nZB+cTH0wFuQksf9EA81tHU6HotSI0MSvBqTw5BnOtHSwKHe006F4TV7OaDq6DLvKtD+/Cg6a+NWA\nbD92ilHR1jg3gWLe+CREIF8v8KogoYlfeazmbCtHqhtZkJMUUGPbjIoOZ8rYeHboBV4VJDTxK49t\nK64jNERYkBM4zTzdFuSMZmdpPR2dOnq4Cnya+JVHWts72Xm8npkZo4iPCnc6HK/Ly0miqa2TQyd1\nwDYV+DTxK4/sPF5Pa0cXSyYkOx3KsOj+FqP9+VUw0MSv+tVlDFuLT5GZFE3W6BinwxkW6YnRZCRG\na39+FRQ08at+Ha1upLaxNWDP9rstyEkiv+QU1mCzSgUuTfyqX1uL64iNDGNmxiinQxlWC3JHU3Wm\nlZK6ZqdDUWpYaeJXfaprbKXw5FkW5iQR5oeTrQzE0okpAGw5WutwJEoNr8D+S1ZDtrW4DhFYlBvY\nzTwAOckxpI2KYsvROqdDUWpYaeJXvWpt76Sg1OrCmRAdeF04exIRlkxMZtvROrq6tJ1fBS5N/KpX\nBXYXzu4mkGCwdGIKdU1tFFZpf34VuDTxK7e6jGHr0TqyArgLpztLJ1pNWtrcowKZJn7l1pGqs9Q1\ntQXV2T5Y/flzU2LZqhd4VQDzKPGLyDIRKRSRIhH5npvtIiL329v3iMg8e32UiLwvIrtFZL+I/NTb\nFVDDY8vROuKjwpieETijcHpqycRkthef0nF7VMDqN/GLSCjwALAcmAbcKCLTehRbDky2H6uAB+31\nrcBlxpjZwBxgmYgs9lLsaphUn23hSHUji3JHExYSfF8Kl05M5mxrB3tPNDgdilLDwpO/6oVAkTGm\n2BjTBqwFVvYosxJ43Fi2AYkikmYvN9plwu2Hdpfwcd2jcC4Mgi6c7iyeoO38KrB5MmlqBlDmslwO\nLPKgTAZQaX9jKAAmAQ8YY7YPPlw13FraO9lZeprZmaOIC4A5dd1xN49wt5sWjSclLpKp4+LZerSO\nez81aQQjU2pkeHLG727GjZ5n7b2WMcZ0GmPmAJnAQhGZ4fYgIqtEJF9E8mtqajwISw2HgtJ62jq7\nWDIhuC7q9rRkYjI7Sk7R0t7pdChKeZ0nib8cyHJZzgQqBlrGGHMa2Awsc3cQY8waY0yeMSYvNTXV\ng7CUt1mjcNaRPTqGjKRop8Nx1MWTU2nt6GL7MR2mWQUeTxL/DmCyiOSKSARwA7CuR5l1wG12757F\nQIMxplJEUkUkEUBEooHLgUNejF950eGTZznV1MaSicHZtu9qycRkosJDePNgldOhKOV1/TbiGmM6\nROQ+YAMQCjxijNkvInfb21cD64EVQBHQDNxp754G/Nlu5w8BnjHGvOL9aihv2FJcR0JUGNPTPR+F\ns6/2cn8WFR7KhZNSef1gNT+5xiASOHMMK+XR1TtjzHqs5O66brXLcwPc62a/PcDcIcaoRkD1mRaK\nqhv5zLSxATWR+lB8+vwxvH6wisKqs0wdF3z3M6jAFXydtJVbW4vrCAvQidQH69NTxwDwxsFqhyNR\nyrs08Sta2jv54PhpZgVwF87BGJMQxazMUbyu7fwqwGjiVx924Vwc4FMrDsanp45lV9lpahtbnQ5F\nKa/RxB/kuroM24qtUTgzk4JnFE5Pffr8MRgDmw5pc48KHJr4g9xbR2qoa2pjSZCNwump6ekJpI2K\n0nZ+FVA08Qe5P28pIT4yjBlBOAqnJ0SEy6aO4Z0jNbR26F28KjBo4g9ix2qb2FxYw4IgHYXTU5dP\nG0tTWydvH9Yx+lVg0L/2IPb41hLCQoSFudqFsy8XTkohOTaCFz8odzoUpbxCE3+Qamrt4Ln8clbM\nTCMhKvAnUh+K8NAQrp6dzusHq2lobnc6HKWGTBN/kHphZzlnWzu4fWmO06H4hWvnZdDW0cWreyud\nDkWpIdPEH4SMMfx5aykzM0Yxb3yi0+H4hZkZo5iYGqvNPSogaOIPQluO1lFU3cjtS3N08DEPiQjX\nzstkR0k9ZaeanQ5HqSHRxB+EHttSQnJsBFfNSnM6FL/yubkZALz4wQmHI1FqaDTxB5myU828cbCK\nGxeOJyo81Olw/EpGYjSLJ4zmhZ3lWAPSKuWfdESuIPP41hJEhJsXj3c6FL907dxMvvP8HvJL63Uk\nUx/V35zKSs/4g0pTawdrd5SxfMY40kYF99SKg3XlrDRGRYfz0DvFToei1KBp4g8iL+ws52xLB3de\nkOt0KH4rNjKMWxdn89qBKoprGp0OR6lB0cQfJLq6DI++V8LsTO3COVS3L80hPDSEP71zzOlQlBoU\nTfxB4q0jNRTXNnHnBbnahXOIUuMjuW5eJs/vLKfmrI7Tr/yPJv4g8eh7JYyJj2TFTO3C6Q1fuSiX\n9s4u/rylxOlQlBowTfxBoKj6LG8fruGWxdlEhOlb7g0TUuO4Yto4nthWSlNrh9PhKDUgmgWCwMPv\nHiMyLES7snnZVy+ZQMO5dh5+V9v6lX/xqB+/iCwDfguEAg8ZY37ZY7vY21cAzcAdxpidIpIFPA6M\nA7qANcaY33oxftWPmrOtPL/zBF+Yn0lKXKTT4fi9nn3Ep6cn8Ls3jxAWInztU5Mcikqpgen3jF9E\nQoEHgOXANOBGEZnWo9hyYLL9WAU8aK/vAL5ljDkfWAzc62ZfNYye2FpCe2cXX75Qu3AOh+5rJuv3\nnXQ4EqU850lTz0KgyBhTbIxpA9YCK3uUWQk8bizbgEQRSTPGVBpjdgIYY84CB4EML8av+nCurZMn\ntpVy+fljmZga53Q4ASkpJoKLz0tl34kGthTpDF3KP3iS+DOAMpflcj6ZvPstIyI5wFxgu7uDiMgq\nEckXkfyamhoPwlL9eW5nOfXN7ay6eILToQS0iyenkhQTzk9e3k97Z5fT4SjVL0/a+N11+u45QlWf\nZUQkDnge+KYx5oy7gxhj1gBrAPLy8nQErCHq7DI8/E4xc7ISyctOcjqcgBYeGsKVM9N4cvtxVm8+\nytc/PXnAr9HX+DKgY8wo7/LkjL8cyHJZzgQqPC0jIuFYSf8pY8wLgw9VDcTGAycpqWvmKxdN0Bu2\nRsD5aQlcMzudX79+mC1HtclH+TZPEv8OYLKI5IpIBHADsK5HmXXAbWJZDDQYYyrt3j4PAweNMb/y\nauSqV8YYfr+piNyUWJbNGOd0OEFBRPjFtTPJSYnlH5/eRfWZFqdDUqpX/SZ+Y0wHcB+wAevi7DPG\nmP0icreI3G0XWw8UA0XAn4Cv2esvAG4FLhORXfZjhbcroT5u8+Ea9p04wz2XTCQ0RM/2R0pcZBgP\n3jyfxtZ2vv70B3Roe7/yUR714zfGrMdK7q7rVrs8N8C9bvZ7F/ft/2qYGGN44M0i0kdFfThjlBoZ\n3e30V81M57md5dz80HaumZ3+YVObttMrX6F37gaY7cdOkV9az1cvmajDMzhkXnYSF01KYfuxU2zY\nX6WzdSmfozNwBZgHNhWREhfJlxZk9V9YDZtlM8bR2tnF20dqiAgL4bKpY5wOSakP6SlhANlVdpp3\njtTyDxfl6ny6DhMRrpmdztysRF4/WMWmwmo981c+Q8/4A8Rfth/n0feOER0eSmRoyMf6hWvbsjNC\nRLh2XiYG2Higih/+dR8/vWY6YaF6vqWcpYk/QByrbeJIdSPLpo8jUs/2fUZoiPCF+ZmMig7nqe3H\nqWxo4Xc3ziU2Uv/0lHP01CMAGGPYeOAk8ZFhLJ6Q7HQ4qocQEa6YPo6ff24Gmwurue7BLZTWNTkd\nlgpimvgDwDtHaimpa+bSKanak8eH3bI4m0fuWEBlQwtX/+5dNh2qdjokFaT0+6afM8bwP68Vkhgd\nzoKc0W7L9DcOjBo5l04Zw8v3XcjdTxZw15938PXLJvONQYzto9RQ6Omhn3vtQBV7yhu4bOoYvWjo\nJ8Ynx/D8PUu5dm4m979xhFse2s7Zlnanw1JBRDOFH2vv7OK//naIiamxzB2vI3D6k+iIUP73+tn8\n9xdm8UFZPfe/WURRdaPTYakgoYnfjz21rZTi2iZ+sOJ8HZPHT30xL4t1911IbEQoj753jI0HqujS\n/v5qmGkbv59qaG7nN28c4YJJyVw2dQxPv1/W/06qX8N5PaSv1/7apZN4eXcFmwqrKalr4kt5WSRE\nhw9bLCq46Rm/n/rdm0doONfOv66YpuPtB4CIsBCum5/JF+dnUl7fzO/ePMLRGm36UcNDE78fKq1r\n4s9bS7h+fhbT0hOcDkd50dzxSdx76SRiI8N45N1jbC6s1qYf5XWa+P3Qz145SHhoCN/67HlOh6KG\nwZiEKO65dCKzMkfx2oEqnthaSsM57fWjvEfb+P1Ed/vwocozvH6wimXTx/H6Qb0BKFBFhoVyfV4W\n45NjeXVPBZ974D3W3DqfyWPjnQ5NBQA94/cj7Z1dvLyngtT4SJZO0qEZAp2IsGRCMl++cAJnW9r5\n3APvsWH/SafDUgFAE78f2VxYQ31zOytnpxMWom9dsMhNieXlr1/IxDFxfPWJAh7YVKRDPKsh0ezh\nJ2obW3n7SA2zM0cxITXO6XDUCEsbFc0zX13C1bPT+e8NhXz7uT20deicvmpwtI3fDxhjeGnXCcJC\nhOUz05wORzkkKjyU+2+Yw4SUWH77xhHKTjWz5tY8Xt1b2ed+Oh+D6knP+P3As/nlHK1pYtmMcSRE\n6U09wUxE+KfPnMdvb5jDB8dP84XVWzjd3OZ0WMrPeJT4RWSZiBSKSJGIfM/NdhGR++3te0Rknsu2\nR0SkWkT2eTPwYFF9poWfvXqAnOTYXkffVMFn5ZwMHrtrAScbWlj91lEqG845HZLyI/0mfhEJBR4A\nlgPTgBtFZFqPYsuByfZjFfCgy7bHgGXeCDYY/eil/bR1dHHt3AxC9A5d5WLpxBSevWcJAGveLqa4\nVu/0VZ7x5Ix/IVBkjCk2xrQBa4GVPcqsBB43lm1AooikARhj3gZOeTPoYPG3vZX8ff9Jvnn5eaTE\nRzodjvJBU8clcPclE0mICuex90o4VHnG6ZCUH/Ak8WcAriOAldvrBlpGDUBtYys//Os+ZmQk8JWL\ncp0OR/mwxJgIVl08gbEJUTy5vZRdZfVOh6R8nCeJ3137Qs9OxJ6U6fsgIqtEJF9E8mtqagaya8Ax\nxvD9F/ZytrWDX10/RydYUf2KjQzjHy7MJSc5lmfyy9laXOd0SMqHeZJRyoEsl+VMoGIQZfpkjFlj\njMkzxuSlpqYOZNeA82xBORsPVPGdK6Zwnt6irzwUGR7K7UtzOH9cPC/vruCtw8F9AqV650k//h3A\nZBHJBU4ANwA39SizDrhPRNYCi4AGY0zfnYvVJ/xl+3Hqm9q4/80j5KbEEhUeqvPlqgEJDw3hpkXZ\nPFtQxob9J2nt6OTGhVk6dLf6mH7P+I0xHcB9wAbgIPCMMWa/iNwtInfbxdYDxUAR8Cfga937i8jT\nwFZgioiUi8iXvVyHgNFlDM8WlAPwhXmZ2otHDUpoiHB9XhZ52UlsLqzhpy8foKtLh3hQH/Hozl1j\nzHqs5O66brXLcwPc28u+Nw4lwGCy6ZA1+9IX52eSFBvhdDjKj4WI8Pm5GUSGhfDYlhKaWjv45XWz\ndIpOBeiQDT5jW3Edbx6qZm5Wok6crrxCRFgxM428nNH89o0jNLV18JsvzSUiTDsLBDtN/D6gvqmN\nb67dxejYCK6Zk+50OMoHDfY3JgqkAAAVHElEQVRaj4gwNiGK5TPGsX7vSY5UvcNNC8cTGR4K6Dg+\nwUr/9Tusq8vwL8/u5lRTGzcsHE9kWKjTIakAdNHkVK6bl8HRmkYeevcYja0dToekHKSJ32EPbCri\njUPV/GDFVDISo50ORwWw+dmjuWVRNtVnW/jjW0c51aSDuwUrTfwO2lRYza9eP8zn52Zw+9Icp8NR\nQWBqWgJ3XZBLc1snf9hcxDa90SsoaeJ3SGldE994+gOmjkvgF5+fqf2s1YjJTo7lnksnEhMRxi0P\nbef/dgTWvSIdXV3UNrZyrLaJPeWn2V12mtK6JhrOtdOp3VoBvbjriMbWDr76RAEAf7xlPtER2q6v\nRlZKXCT3XDKRzYer+e7ze9l7ooEfXjmNqHD//CwWVTey6VA17xbVsuVoLe2d7hP86reOsmLmOK6Z\nncGi3NGEBGn3Vk38I6yjs4v7/rKTI9WNPHLHAsYnxzgdkgpS0RGhPHrHAv7fhkLWvF3M9uJT3H/j\nXM5PS3A6NI/UNrayblcFL35wgr0nGgCYNCaOvOzRZCRFkxAVTlxUGAKcbm7n9Lk2BHhpVwVPv19G\nZlI0375iClfPSg+6fwCa+EeQMYafvLyfzYU1/OLzM7nkvOAek0g5Lyw0hB+sOJ8LJ6Xwz8/sZuUD\n7/FPl5/HXRfm+GQPs64uw7tFtazdcZyNB6po7zRMT0/g366axoqZ40gbFe226+vYhCjA6r7a3NbB\nxgNVrHm7mG+s3cUj7x7jh1dNC6qJjsS66da35OXlmfz8fKfD8LqvPVnA+n0nuXhyCstm6Ny5ynmu\n/fhrG1v5wQt7ee1AFTnJMfzo6mlcNnXsoF+7r3sPBnr/QHFNIy9+cIIXdp7gxOlzJMWEc+28TK7P\ny2LKuI8PZOjpcbu6DC9+cIL/3lDIyTMt3HVBLt9ZNsVvm7tEpMAYk+dJWT3jHyHP7Chj/b6TzEhP\n4LPTxzkdjlKfkBIXyZrb8thcWM2/v3KAux7LZ1HuaO66MJfLzx87osM9GGM4dPIsbxysYuOBKnaX\nNxAicMGkFL67fCpXTB875G8kISHCdfMzWTEzjf/6+yEeee8YW47W8psb5jB1nH80dw2WJv4R8NKu\nE3z3hT1MHhPH9XlZOvia8mmXThnD0okpPLmtlIffPcZXnyggMyma6/OyuGzqGKanJ3i9F1pLeydF\n1Y3sPF5Pfkk9+SWnqGhoAWB2ViL/uuJ8Vs5JZ4zdZONN0RGh/OSa6VxyXirffm431/z+PX62cjpf\nWhC4dzVr4h9m6/dW8s/P7GZxbjJXTB+nk6oovxARFsJdF+Zy25JsNh6o4tEtJfxq42F+tfEwY+Ij\nWTQhmfPGxDF5bBxZo2NIjIlgVHQ4sRGhH/5T6DKG9s4u2jqsR3NbJ81tHTS1dlLf3EbF6XNUnD7H\n0Zomyuqb6W51HhMfSV5OEv84OZXLpo4ZlmTvzqemjuHv37yYb67dxXef38uustP8+Orpftv00xdN\n/MPo2fwyvv/CXuZmJfLQ7Xm8tGtAc9Mo5biw0BCWz0xj+cw0as628tbhGjYVVrOztJ6Xdw/t8xwT\nEcqo6HBS4iKZPMZK8JlJ0SRGh3Pz4mwv1WBgUuIi+fNdC/nf1wr5w+aj7K84wx9unkdmUmD1vtPE\nPwyMMfz+zSL+d+NhLpyUwoO3zCM2Un/Vyr+lxkfyhfmZfGF+JgCPvneM2rNt1De3ca69k3NtnbR1\ndn1sn4jQECLCrEdMRCgxEWHERoQSHxXus6OEhoYI31k2lTlZiXzrmd1c9bt3uf+GuVwcQL3wNBt5\nWVtHFz9et5+n3z/O5+dm8F/XzfLZD7hSQxEZFkpGUjQZSYE5xtRnp49j3dfjufuJAm5/9H3++fLz\nuPdTkwKiz79mJC8qO9XMF/+4laffP849l07kV9fP1qSvlB/LTYnlxXuXsnJ2Ov+78TC3PrKdk/ZF\nZ3+mZ/xe8re9lXzn+T1g4IGb5nHlLO2nr9RgefMegKGKiQjj11+aw+IJyfz05QNc8Zu3+c9rZ7Ji\npv/+jevp6BCV1zdz9xMF3PPUTiakxPLqP16kSV+pACMi3LBwPOu/cRE5yTF87amd3PNkASdOn3M6\ntEHRM/5Bamzt4OF3jvGHzUWIwL989jxWXTxRm3aUCmC5KbE8d89S/vjWUX6/qYjNhTXcd9kkvnxh\nrl91+9TEP0BVZ1p49L0SntpeytmWDq6cmcYPrjxfJ1FRKkiEh4Zw32WT+dzcDH7+ykH+e0Mhj75X\nwp0X5HDL4mxGRYc7HWK/PBqrR0SWAb8FQoGHjDG/7LFd7O0rgGbgDmPMTk/2dcfXxuo509LO6weq\nWL+3krcO19DZZVg+I42vXDyBOVmJHr/OYOdNVUp5x3BcH9hWXMcfNh/l7cM1xEWGcc2cdK6alcai\n3OQRHebCq2P1iEgo8ADwGaAc2CEi64wxB1yKLQcm249FwIPAIg/39SnGGGoaWzlQcYYdJafYUVLP\nruOnaevsIn1UFHcszeHWxTk6nLJSCoDFE5JZPCGZfScaePjdY7y48wR/2X6c1PhILj0vlQW5o1mQ\nM5qc5BifmXDJk6aehUCRMaYYQETWAisB1+S9EnjcWF8ftolIooikATke7Ot1xhg6uwwdXdYt4x2d\nhtaOLs61d9LS3klTawdnWto5c66DuqY2qs+0cPJMC2WnmimqbuRMizURdWiIMCM9gTsuyGHZjHHM\nyUwMiD68Sinvm5Exil9/aQ7/8fkO3jxUzat7Ktl4sIpnC8oBiIsMIzcllgmpsWQlxZASF0FKfCSj\nYyKIjQwjNjKMhKiwERmiwpPEnwGUuSyXY53V91cmw8N9vWbmjzfQ2NbBQEeajggLYWxCJOmjorl6\ndjqTxsQxZWw8c8YnEhOhl0GUUp6LiQjjqlnpXDUrna4uQ3FtIztK6ik8eZajNY3kl9Tzyp5Kt9NA\nJsdGUPBvnxn2GD3Jau5OcXtG3FsZT/a1XkBkFbDKXmwUkUIPYvOaI5AC1I7kMYeJ1sO3aD18yM0+\nXo9SQH7kUVF39fB4gCNPEn85kOWynAn0HJ2ptzIRHuwLgDFmDbDGg3iGhYjke3phxJdpPXyL1sO3\naD0snnQ63wFMFpFcEYkAbgDW9SizDrhNLIuBBmNMpYf7KqWUGkH9nvEbYzpE5D5gA1aXzEeMMftF\n5G57+2pgPVZXziKs7px39rXvsNREKaWURzy6cmmMWY+V3F3XrXZ5boB7Pd3XRznWzORlWg/fovXw\nLVoPfHSydaWUUsNHB5ZRSqkgo4kfa1gJESkUkSIR+Z7T8XhKRB4RkWoR2eeybrSIbBSRI/bPJCdj\n9ISIZInIJhE5KCL7ReQb9nq/qouIRInI+yKy267HT+31flWPbiISKiIfiMgr9rLf1UNESkRkr4js\nEpF8e50/1iNRRJ4TkUP238mSodQj6BO/y7ASy4FpwI0iMs3ZqDz2GLCsx7rvAW8YYyYDb9jLvq4D\n+JYx5nxgMXCv/R74W11agcuMMbOBOcAyu5ebv9Wj2zeAgy7L/lqPTxlj5rh0f/THevwW+LsxZiow\nG+t9GXw9jDFB/QCWABtclr8PfN/puAYQfw6wz2W5EEizn6cBhU7HOIg6vYQ1vpPf1gWIAXZi3anu\nd/XAuufmDeAy4BV7nT/WowRI6bHOr+oBJADHsK/JeqMeQX/GT+/DTfirsca6hwL75xiH4xkQEckB\n5gLb8cO62M0ju4BqYKMxxi/rAfwG+A7gOnu6P9bDAK+JSIE9OgD4Xz0mADXAo3bT20MiEssQ6qGJ\nfwDDSqjhJSJxwPPAN40xZ5yOZzCMMZ3GmDlYZ8wLRWSG0zENlIhcBVQbYwqcjsULLjDGzMNqyr1X\nRC52OqBBCAPmAQ8aY+YCTQyxeUoTv2dDUviTKntkVOyf1Q7H4xERCcdK+k8ZY16wV/tlXQCMMaeB\nzVjXYPytHhcA14hICbAWuExEnsT/6oExpsL+WQ28iDXasL/Voxwot789AjyH9Y9g0PXQxB94w0qs\nA263n9+O1V7u08QapPxh4KAx5lcum/yqLiKSKiKJ9vNo4HLgEH5WD2PM940xmcaYHKy/hzeNMbfg\nZ/UQkVgRie9+DnwW2Ief1cMYcxIoE5Ep9qpPYw1tP/h6OH3hwhceWMNNHAaOAv/qdDwDiPtpoBJo\nxzor+DKQjHVR7oj9c7TTcXpQjwuxmtf2ALvsxwp/qwswC/jArsc+4Ef2er+qR486XcpHF3f9qh5Y\nbeO77cf+7r9tf6uHHfMcIN/+bP0VSBpKPfTOXaWUCjLa1KOUUkFGE79SSgUZTfxKKRVkNPErpVSQ\n0cSvlFJBRhO/HxERIyKT7OerReTfnI7JlYg8JiI/d+C4nxeRMhFpFJG5I338QGT/LicMct8PP6du\ntm0WkX8YWnRqqDyagUsNjH3HYzqQboypdVm/C2tkvVxjTMlQjmGMuXso+weY/wHuM8b49I04/sQY\nE+d0DGr46Bn/8DkG3Ni9ICIzgWjnwglo2Vg36Pg8EdGTLeU4TfzD5wngNpfl24HHXQuISKSI/I+I\nHBeRKrv5Jtpl+7dFpFJEKkTkrh77ftisIiJJIvKKiNSISL39PNOl7GYR+ZmIvCciZ0XkNRFJcRe0\nPcnDVS7LYSJSKyLz7OVnReSkiDSIyNsiMr2X17lDRN7tsc61qarPuvfYL0REfigipWJNPPO4iIyy\nX6MRCAV2i8jRXvZfKiI77Jh3iMhSe/2nRGSvS7nXReR9l+V3ReRz9vMSEfkXEdljv87/iUiUS9mr\nxJrs47SIbBGRWS7bSkTkuyKyB2hyl/ztuvzGfq8r7OeRLttX2q9/RkSOisgye/1oEXnU3qdeRP7q\n4e//Mft3vtH+TLwlItmDea/6+pz2Iru3z6KIXCPWJDan7c/t+T1+j9+234MmEXlYRMaKyN/s13pd\nXCYjEZHF9ntxWqzJcS512XaHiBTb+x0TkZs9iDtwOH0rciA+sMYAvxxrvOzzsRJTGdaZqQFy7HK/\nwRpvYzQQD7wM/Ke9bRlQBcwAYoG/2PtOsrc/Bvzcfp4MXIc1Bnw88CzwV5d4NmMNR3Ee1reOzcAv\ne4n9R1gDpXUvXwkcclm+yz5GpB3/LpdtrjHdAbzb47Vd4++17m5iugsowroFPw54AXjC3eu62Xc0\nUA/citW0eaO9nAxEAeeAFHvbSawB+uLt39M5INnlPX0fqwlvNNZEGHfb2+ZhDZC1yH6vb7fLR7rs\nuwtrMMDoXuL8d2Ab1tC6qcAW4Gf2toVAA9YcBSFYw4ZPtbe9Cvwf1i384cAlHv7+HwPOAhfb7+Vv\nXct7+l7Rz+fUTT0308tn0V7XZNczHGtY6CIgwuX3uA0Ya/8OqrHmPJhr1+FN4Md22QygDmvojxD7\nNevs320scAaYYpdNA6Y7nTdGNEc5HUAgPvgo8f8Q+E/7j2MjVnIxWJOniP0hn+iy3xLgmP38EVyS\ns/1H4Tbxuzn+HKDeZXkz8EOX5a9hzebjbt9JdkKIsZefwh5zxk3ZRDumUT1joo/E01/d3RznDeBr\nLstTsMYnCnN93V72vRV4v8e6rcAd9vN3gGuxZv56DXjGfr8+Bezp8Z7e4rL8/4DV9vMHsZO0y/ZC\nPkrCJcBd/XxmjgIrXJavAErs538Efu1mnzSs8fKT3Gzr9ffv8l6tddkWB3QCWQN5r/r7nLqJq9fP\nIvBvwDMu20KAE8ClLr/Hm122P481VHH38texT3iA7+JycmCv24D1TzkWOI11suT2H3GgP7S9cXg9\nAbwN5NKjmQfrzCMGKBD5cEoAwTpjBOvM0nU89NLeDiIiMcCvsRJW91fdeBEJNcZ02ssnXXZpxvpD\n/wRjTJGIHASuFpGXgWuwzqi6p6n8D+CLdvzdk3SkYJ2Reqq/uveUzsfrX4r1T3QsVmLoS899u/fv\nnmznLayByMrt5/XAJVjTKL7VY7+ev8N0+3k2cLuIfN1le4TLdnCZ7MduVvijvfiOMWa5mzhLXfbP\nAta7qVsWcMoYU+9mmyc+jMkY0ygip+xjuk5M5LXPqYvePosf+x0YY7pEpIyPT4xU5fL8nJvl7tfK\nBr4oIle7bA8HNhljmkTkS8C/AA+LyHtYU38e8iD2gKBt/MPIGFOKdZF3BVbzhKtarA/qdGNMov0Y\nZT7qTVHJx+cJGN/Hob6FdRa8yBiTgPX1HdxPMuOJp7GaRFYCB4wxRfb6m+x1lwOjsL659HacJqyE\nYRUQGeeyrb+691SB9YfcbTzWPL1V7ov3uW/3/t3/MLoT/8X287ewEv8lfDLx96YM+A+XuiQaY2KM\nMU+7lPlwNERjzFPGmDj7sbyXOMfz0bwQZcDEXo47WuyhoHvo6/ffLctlexxWU07PuSi8+Tntz8d+\nB2L9p8mi/3/u7pRhnfG7viexxphfAhhjNhhjPoP1rekQ8KchxO13NPEPvy9jTcDd5LrSGNOF9WH7\ntYiMARCRDBG5wi7yDHCHiEyzz+h/3Mcx4rH+OE+LyOh+ynpiLdbY5fdgtdm6HqcVq600BvhFH6+x\nG5guInPsi6A/6d7gQd17ehr4J7HmTIizj/t/xpgOD+qyHjhPRG4S60L1l4BpwCv29i1Y/zQXYjUJ\n7cdKPouwvq154k/A3SKySCyxInKl2GPBe+hp4IdijemfgnWt5Ul728PAnSLyabEudGeIyFRjTbf3\nN+APYl3gD5ePZpjq9ffvYoWIXCjWPBQ/A7YbY1zP9r39Oe3PM8CVdj3DsU5oWrHeo4F6Eutb6xVi\nTYcZJSKXikimfUH4GrHG6G8FGrGauYKGJv5hZow5aozJ72Xzd7EuXm0TkTPA61hJCGPM37Auqr1p\nl3mzj8P8ButCWS3Wxa+/DzHmSqx28KVYFw67PY71VfwE1kQQ2/p4jcNYFyxfxxov/N0eRXqtuxuP\n8FGz2TGgBas915O61AFXYSWROqwLhlcZ+/4K+x/yTmC/MabN3m0rUGqsWZs8OUY+8BXg91hNRUVY\nbewD8XM+Gm99rx3Tz+3Xfx+4E6s5rwHrm0j3mfGtWNc7DmFd7PymvU9/v3+w/qn/GDgFzAd669ni\nrc9pn4wxhcAtwO+wPstXA1e7vC8Dea0yrG+nP8Car7YM+DZWzgvB+jxUYNX9EqxrDUFDx+NXKgiJ\nyGNY0/n90OlY1MjTM36llAoymviVUirIaFOPUkoFGT3jV0qpIKOJXymlgowmfqWUCjKa+JVSKsho\n4ldKqSCjiV8ppYLM/wdLJt8jdO6ECwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 目标y（房屋价格）的直方图／分布\n",
    "fig = plt.figure()\n",
    "sns.distplot(df[\"MEDV\"], bins=30, kde=True)\n",
    "plt.xlabel(\"Median value of owner-occupied homes\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. 对两个连续型特征，可以用哪个函数得到这两个特征之间的相关性？根据代码运行结果，给出示例。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 相关矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1b055ef0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEdCAYAAAAIIcBlAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n7VXJAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#get the names of all the columns\n",
    "cols = df.columns \n",
    "\n",
    "# Calculates pearson co-efficient for all combinations，通常认为相关系数大于0.5的为强相关\n",
    "data_corr = df.corr()\n",
    "sns.heatmap(data_corr,annot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(14, 14)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_corr.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtcAAAIMCAYAAAA+d4CxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<Figure size 936x648 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 得到相关系数的绝对值，通常认为相关系数的绝对值大于0.5的特征为强相关\n",
    "data_corr = data_corr.abs()\n",
    "plt.subplots(figsize=(13, 9))\n",
    "sns.heatmap(data_corr,annot=True)\n",
    "\n",
    "# Mask unimportant features,突出重要信息\n",
    "sns.heatmap(data_corr, mask=data_corr < 0.5, cbar=False)\n",
    "\n",
    "#plt.savefig(\"house_coor.png\" )\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RAD and TAX = 0.91\n",
      "NOX and DIS = 0.77\n",
      "INDUS and NOX = 0.76\n",
      "AGE and DIS = 0.75\n",
      "LSTAT and MEDV = 0.74\n",
      "NOX and AGE = 0.73\n",
      "INDUS and TAX = 0.72\n",
      "INDUS and DIS = 0.71\n",
      "RM and MEDV = 0.70\n",
      "NOX and TAX = 0.67\n",
      "ZN and DIS = 0.66\n",
      "INDUS and AGE = 0.64\n",
      "CRIM and RAD = 0.63\n",
      "RM and LSTAT = 0.61\n",
      "NOX and RAD = 0.61\n",
      "INDUS and LSTAT = 0.60\n",
      "AGE and LSTAT = 0.60\n",
      "INDUS and RAD = 0.60\n",
      "NOX and LSTAT = 0.59\n",
      "CRIM and TAX = 0.58\n",
      "ZN and AGE = 0.57\n",
      "TAX and LSTAT = 0.54\n",
      "DIS and TAX = 0.53\n",
      "ZN and INDUS = 0.53\n",
      "ZN and NOX = 0.52\n",
      "AGE and TAX = 0.51\n",
      "PTRATIO and MEDV = 0.51\n"
     ]
    }
   ],
   "source": [
    "#Set the threshold to select only highly correlated attributes\n",
    "threshold = 0.5\n",
    "# List of pairs along with correlation above threshold\n",
    "corr_list = []\n",
    "#size = data.shape[1]\n",
    "size = data_corr.shape[0]\n",
    "\n",
    "#Search for the highly correlated pairs\n",
    "for i in range(0, size): #for 'size' features\n",
    "    for j in range(i+1,size): #avoid repetition\n",
    "        if (data_corr.iloc[i,j] >= threshold and data_corr.iloc[i,j] < 1) or (data_corr.iloc[i,j] < 0 and data_corr.iloc[i,j] <= -threshold):\n",
    "            corr_list.append([data_corr.iloc[i,j],i,j]) #store correlation and columns index\n",
    "\n",
    "#Sort to show higher ones first            \n",
    "s_corr_list = sorted(corr_list,key=lambda x: -abs(x[0]))\n",
    "\n",
    "#Print correlations and column names\n",
    "for v,i,j in s_corr_list:\n",
    "    print (\"%s and %s = %.2f\" % (cols[i],cols[j],v))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "### 散点图\n",
    "matplotlib库的scatter()方法\n",
    "或\n",
    "seaborn库的jointplot方法（kind参数为scatter）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAD8CAYAAABn919SAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nlAQKOiGElAQKOiGElIT/D79tjizRClUVAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(df[\"RM\"], df[\"MEDV\"]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaUAAAGoCAYAAADmTPpwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.jointplot(x=\"RM\", y=\"MEDV\",\n",
    "\n",
    "              data=df, kind=\"scatter\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAL0AAADBCAYAAACaN7GKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAFs9JREFUeJztnX10XHWZxz/PZDIzySTQNEkrNJQ3\nS9H1uECiFrq6vIiCy4rsyptUlONS3lR0VxfZo8c9u+sRj+eg7tEWWpUXWwQO2AU9Li7LgiACkhZU\noFTeIS22TZqWNJlkMrnP/jF3pjOZO9NJk3m5c5/POXOS+c29k99kvvOb5/f8nt/3iqpiGEEiVOsO\nGEa1MdEbgcNEbwQOE70ROEz0RuAw0RuBw0RvBA4TvRE4TPRG4PC16M844wwF7Ga3zK0sfC36wcHB\nWnfB8CG+Fr1hHAjhWnegnpiYSDE4liTlKOGQ0NUaIRq1f1GjYe+oy8REij8NjnLFuo0MDCfo6Whh\n9YpejumKm/AbDAtvXAbHklnBAwwMJ7hi3UYGx5I17pkx11RM9CKyVESezrm9JSJfEJH5InK/iLzg\n/uzIOedaEXlRRLaIyIcr1TcvUo5mBZ9hYDhByik7KWD4hIqJXlW3qOpxqnoc0AuMARuArwAPqOoS\n4AH3PiLyTuAC4C+AM4BVItJUqf5NJxwSejpa8tp6OloIh6RaXTCqRLXCm9OAl1T1NeBs4Ba3/Rbg\nY+7vZwO3q+qEqr4CvAi8t0r9o6s1wuoVvVnhZ2L6rtZItbpgVIlqzdAuAH7q/r5QVd8EUNU3RWSB\n274IeDznnAG3LQ8RWQmsBFi8ePGcdTAaDXNMV5w7Vi6z7E2DU/F3VEQiwEeBa/d3qEdbQUCtqmuA\nNQB9fX1zGnBHo2EWmcgbnmqEN2cCm1R1u3t/u4gcAuD+3OG2DwCH5ZzXA2yrQv+MgFEN0V/IvtAG\n4F7gU+7vnwLuyWm/QESiInIksAT4XRX6ZwSMin6Xi0grcDpwWU7zdcCdIvIZ4HXgXABVfVZE7gSe\nA1LAVao6Vcn+GcFE/Ox709fXp/39/bXuhlE/lJVftlmb4RvGx1MMJfbVRnW2RIjFZi5hE73hC8bH\nU7wwVFgbtaQzPmPhW+2N4QuGEt61UUOJmddGmegNXzCXtVEmesMXzGVtlIne8AWdLd61UZ0tM6+N\nsoms4QtisTBLOvNroyx7YzQ8sViYRQcg8ulYeGMEDhO9EThM9EbgMNEbgcNEbwQOE70ROEz0RuAw\n0RuBo6KiF5F5InKXiDwvIptF5MR6NXsygkOlR/rvAfep6rHAXwKbqVOzJyM4VNLW7yDgA8CPAFQ1\nqaq7qVOzJyM4VHKkPwrYCdwkIk+JyA9FJM40sycg1+zpjZzzi5o9iUi/iPTv3Lmzgt03GpVKij4M\nnACsVtXjgVHcUKYIZZs9qWqfqvZ1d3fPTU+NQFFJ0Q8AA6r6hHv/LtIfAjN7MmpKJV2L/wy8ISJL\n3abTSHvamNmTUVMqXU//OWC962f5MnAJ6Q+amT0ZNcPMnoxGoqwNs7YiawQOE70ROEz0RuAw0RuB\nw0RvBA4TvRE4TPRG4DDRG4HDRG8EDhO9EThM9EbgMNEbgcNEbwQOE70ROEz0RuAw0RuBo9JmT6+K\nyB9F5GkR6XfbzOzJqCnVGOlPUdXjVLXPvW9mT0ZNqUV4Y2ZPRk2ptOgV+B8R2SgiK902M3syakql\n3RCWq+o2EVkA3C8iz5c4tmyzJ2ANpDeGz003jSBR0ZFeVbe5P3cAG0iHK2b2ZNSUShq4xkWkPfM7\n8CHgGczsyagxlQxvFgIbRCTzd25T1ftE5EnM7MmoIUXNnkSkTVX3FnnsaFV9qaI9K4PZmD05jjI0\nmiSZmiISbqIzHiEUKssryKhfZm329HsROS/vGUViIvIfwH2z6VmtcRxly/YRzln1KMu/9SDnrHqU\nLdtHcBybFweBUqL/EHCJu2r6dhE5G/gjEAWOr0rvKsTQaJJLb+1nYDgBwMBwgktv7WdoNFnjnhnV\noGhM74YvZ4rIl4HngT8DH1bVZ6vVuUqRTE1lBZ9hYDhBMmVTiCBQdKQXkbCIXAtcBlwJ9AP/mWO9\n7Vsi4SZ6Olry2no6WoiEreohCJQKb54ivSLa617942PAd4B7ROSbVeldheiMR1h7cV9W+D0dLay9\nuI/OeKTGPTOqQansTa+qbvRojwFfVdWvVrpz+8OyN8Y0ynoDS8X0BYJ36QU6ijzmG0Ihobs9Wutu\nGDWgrMUpETkO+ARwHvAKcHclO1UrxsdTDCWSpBwlHBI6WyLEYpUuTzKqTdF3VESOIV3ffiEwBNxB\nOhw6pUp9qyrj4yleGBrlinUbGRhO0NPRwuoVvSzpjJvwG4xS7+bzwCPA36rqiwAi8sWq9KoGDCWS\nbHxlkNsuXYajSkiE/3vuTea3NrNomujtG8HflHqn/p70SP+giNwH3E6ZEwU/EmsO0XtkF59Y+3je\nSB9rzk9w2TeC/ymVsvy5qp4PHAs8BHwRWCgiq0XkQ9Xo3ExxHGXnyARbh8fYOTIxo7KC8UknK2RI\nL1ZdsW4j45NO3nFDiaTncUMJW831C6VE/zsAVR1V1fWqehbpGvenKX3l75ow23qalKOeq7SpaeeX\ne5xRv5QSfUEoo6q7VPVGVT21gn06IGZbTxMOiecqbXha7r7c44z6pVQQ2i0i/1jsQVW9vgL9OWBm\nW0+zoC3K+kvfx2RKCQk4Cs1hYUFbfi6/syXC6hW9BTF9Z4ut5vqFUqJvAtrwyeQ1U0+TK/yZ1NOI\nCCOJFJfniPmGFb3IQfkvPxYLs6Qzzh0rl1n2xqeUKkPYpKonVLk/MyK3DCET02dCnEw9zdKF7Z7l\nBamUw469E0xOOTQ3paO88258rOBDc+fKE1HUBO4PZleGUO4T7LcXacOmfmCrqp4lIvNJL3QdAbwK\nnKeqw+6x1wKfAaaAz6vqr8r9O6GQsHRhOxuuXL7feppUyuH57SN5o/r6f3ifZ3g06Th58XrCScE4\nJnwfU2oie9oc/Y2rgc059yvmcJapp1nU0Up3e7RoAdmOvRNZwYMr7in1nKA2hYTz1zzOX3/7Ic5f\n8zgDwxMkSc2kW0adUVT0qrprtk8uIj3A3wA/zGmuucPZ5JRTMKqv+fVLrF7Rm1duvHpFLz/57SsF\nOfkQsHV4jNeGRtk6PMb4uH0I/ESlv6O/C/wz0J7Tludw5hpBQbp2//Gc44o6nAErARYvXnxAnWpu\nChVMen/78hDXnLmUOy87kdSUQ7gpRDgENz7yat65P/5UL68MTdiKrI+ppO/NWcCOEiXKBad4tHk6\nnKlqn6r2dXd3H1DfFrRFuWHaqH7Dil4OjkU4dF4LizvjHDqvxTPkiUebbUXW51RyaFoOfFREPgLE\ngINEZB2uw5k7ytfE4SwcDnHswva8UX1BW5RwOH8M8MrJ24qs/6mY6FX1WuBaABE5GfiSqq4QkW+T\ndja7jkKHs9tE5HrgUCrscBYOhzh0XkvJY4YSSSYnJ/Ny8oDneoCtyPqHWlh1XwecLiIvAKe793Fd\nFjIOZ/dRBw5nKUe5/cmtjCWnmHKUseQUoJ4TXluR9Q9FF6f8wGz2yJbD4Mg42/aMc+X6TdnwZtVF\nJ3B0V4zdCccWrOqPWTucBZ5kSrOCh3TsfuX6TexJKIs6Wjm8M86ijlYTvM8w0Zdg0inM56cnrU6R\nMww/YKIvQSafn0tPRwvhJvu3+ZnAvnuplMO23QleGxpl2+4EqZRTsPMq1iysuuiEvEnrqotOINJk\nmRo/E4hgdHpFZVdrM3/aOZpXcHbzJe8hmXJY+ZP80uJfP7+Dmz79HppCwpSjrH34Za469e101fpF\nGQdMw4veq6Ly9pXLCgrO3tiV4Gv3PJPXdvm6jfz72e/i9O88nH2+no4Wrv7gkpq8FmNuaPjwxqui\nMpkqnKC2Rpo8J61HdMULcvLTd1MZ/qKhRvrpYcyCtqhnReWUowWrqmPJKS57/xF8vG9xNpS5q/91\nYuFQ3orsgrYozc3mbuxnGkb0XmHMDSt6OeTgaIHA7+p/vaCmZukhbXS1R7nk5ifzqiejzcL8eOly\nhQxmAuUPGmZFdtvuRNHtfkNjSc9S4F3jk9mCM1Q5b83jBeffsXIZizpa99sXM4GqC2a9XdBXeIUx\nme1+v3h6IC8Dc1f/61x80pF5Yn5taHRW1ZPFTKDuWLmswBbQqC0N8254bQzJVD/e+MirBZtBPrHs\niLLOby5zIcpKjv1Dw2Rvim0MiYaLrKpOKwUudn65mRozgfIPDRPTp1IO295KkMwxa4qEhYXxKH8a\nLIy1j13QVpCFyWR/cjeWpFJOWZNTi+nrgrJGmIYRfdGJ7GUnIqKkpshacIebYGF7S4Fbglf2ZSZC\n9jofsIxO9QjeRPakozq59ANH5ZUMTE45XPTDJwo+DBuuXJ53+Z3x8RRT06w9pkhxVGe07MlpLBbO\na7fRvz6p2H/evSDbw6QvthwG7lLVr1fK7Kkt2sQnTzw8P89+0QnEi6y0Tve4nCLFyx4uB0d1RgvO\nbY+F2Do8tt/R2zI69Ukl//MTwKmquldEmoHfiMh/A39H2uzpOhH5Cmmzp2ummT0dCvyviBxT7pbB\niZRyxbQNH1es38SdK5eV5XG5O+HtT3/HymU8es0pWYG3RkO8tqs8CxDL6NQnldwYrsBe926ze1PS\npk4nu+23kL7gwzXkmD0Br4hIxuzpsXL+XvE8vbL24r4Cj8vp14wtJdBMeJRZrCr3Mj2ZjI5tIq8v\nKvod69rybQTeDvxAVZ8QkYqYPZUSWDkel8XO74w35dXezGsp7zI9YLbe9UpVsjciMg/YAHwO+I2q\nzst5bFhVO0TkB8BjqrrObf8R8EtVLXr5ztzszeDIOLvGkmwdHqc10sRYcopFHTHmt0boao/tt49e\nk85fXn0Sr3nE+fFmOPX632TPLVWuYPU4VaV+sjequltEHiJtzFoRs6fmsJBMabYmPrO41BwuL5QY\nSiTp6YjmjeqJCS0a5+dSLE637E19Uklbv253hEdEWoAPkr5M572kTZ6g0OzpAhGJisiRzNDsaXTC\nKaibv3zdRkYnHCYmUnmGqxMThYarIvDctr15DsU79ybpbivM3kwXeLE43S7KVp9Ucrg5BLjFjetD\nwJ2q+gsReQy4U0Q+A7wOnAtpsycRyZg9pZih2dPklMPXz3oH7zz04OxI/dy2PUxOOZ4rssd0xYlG\n9718Vbjm7j947py65OYns8dlBJ6J/0ttLLHsTX1SyezNH4DjPdqHKOJ9r6rfAL5xIH+vo7WJt81r\ndT3k94lxXmtT3uJUXq48R/SOegs0s3Mq7zlbyttYYtmb+qRhAsuR8eJ59nJGWxFvgbY0hwqyN4Oj\nUxzeGd9vnyx7U580jOhLhRLljLbNIeHbH383X77rD1mBrvlkLyMTKS65KX831fRV2mLYRdnqk4b5\n75cKJbxG27ZY/hy+LSoce0hbnkDbW0J85Hu/9fz2iO8/CwoU1uMYtadhqiz3jI3z+nBhTn1xR5SU\nwnhyn+FqLBIi3hRm1/hkdhP5/FizZ3rxz7vHuPQnm/L+7q+/fHJZ4Y1RdeonT18NRpPK8N5E3kj9\n0o636IxH6GptZjy5L00Ybwrz1uQkjvuBd1RLFoflYhNR/9Mwol/QFmXXaEte9iZ355OIAIqIMOGk\n2JNIMbArkV29Pao7zvm9PZx9Qk+2puaeTQN5c4Lc7I3hXxomvAGYnJxK73zKSSWKSIE1yN2Xn8jL\ng6N5k9Z7P3sSW3cXhkeL5kVJ5IVGguOE8mrxjbohWOGN4ygvDo56VlMWXDPW0azgM21jyeIpz9xv\nj8xVyA3/0jCiHxpNZgUPadFeems/t3vk6ac80pulUp7lXIXc8A8NE5wmU1OeonWcwstiRjwcEprE\n3AyCQsOM9JFwk2eePtbcxA0revNi+hCw4coTSaY0Lyfvlc+f1xJid2IqvYKbmmJvcoK2SNRztE8m\nU+wc3VdG3B2PEIk0zL+4YWiYiazjKFu2jxTE9EsXtuM4mmftEY+IZ07/8M4oe8acbPZmfmuoyL7Z\nGPFY/kQ2mUyxZWdhnn9pd9yEXz2CZQECaeEPjSb3G39vHR7LTk4zZDaCLP/Wg9m2R685pehx0zeM\nlHrOcrwwjTkhWNkbgFBIykolllvyO5PSYCsj9g8NM5GdCeVa8M3Eqs9s/fxDIEXfFgt5XvU7Fgnl\ntR3c4n3cwR4rst3xiOex3XErI643KhbTi8hhwK3A2wAHWKOq35tLs6cDjel3jkywedswRy84KK9O\n592HdTCWdLITXlVlYnKSaHNz9rjMfa843bI3NafmMX0K+CdV3SQi7cBGEbkf+DQVMHsqlb2ZLvzO\neITug1oLVloPikWY17rv2HRGZpKLb8rfjdUzz3v0jkTCLDKR1z1Vy96IyD3A993byTluCA+p6lJ3\nlEdVv+ke/yvgX1W1qNlT7ki/c2SCc1Y9ul/PygzlWnPY6O0raj7SZxGRI0jvl30CqIjZU7EV2WRq\nalZuxOFwU9oC0A2ZwmG7yJrfqfhEVkTagLuBL6jqW6UO9Wgr+BpS1TWq2qeqfd3d3dn2zIpsLuns\nSYgXhkbzrD3KtebIhEznrHqU5d96kHNWPcqW7SM4lob0NRUVvWvcejewXlV/5jZvd8Ma5tLsqTMe\nYe3FfXnZk7UX9wGFhk3l5tSLFbENjZpvjZ+ppFW3AD8CNqvq9TkPZcyerqPQ7Ok2Ebme9ER2RmZP\noSKelW8MjxUIvFxrjlIhk+FfKjnSLwc+CZwqIk+7t4+QFvvpIvICcLp7H1V9FsiYPd3HDM2eYN+K\n7KKOVrrb00VhXotGE5OTnjn16dYcxUKm6Tbfhr9oqNobL0r5Se4vezOTNKhRFwSv4KwYs3EOLnfB\ny6gL6idlWWtm4z1TbhGb4R8CWXtjBBsTvRE4fB3Ti8hOYBQYrHVf5pAu7PUcKIOqesb+DvK16AFE\npF9V+2rdj7nCXk/lsfDGCBwmeiNwNILo19S6A3OMvZ4K4/uY3jBmSiOM9IYxI0z0RuDwtehF5AwR\n2SIiL7r7bX2FiPxYRHaIyDM5bfNF5H4RecH92VHLPs4EETlMRB4Ukc0i8qyIXO2219Vr8q3o3evT\n/gA4E3gncKG7udxP3Ez6Kuq5fIX0xvklwAPufb+QMQN4B7AMuMp9T+rqNflW9MB7gRdV9WVVTQK3\nA2fXuE8zQlUfBnZNaz4buMX9/RbgY1Xt1CxQ1TdVdZP7+wiwmfQ+57p6TX4W/SLgjZz7nhvJfUje\nxnlgwX6Or0tKmQFQ49fkZ9GXtZHcqD4zMAOoCX4W/aw2ktcxxTbO+4IZmgHUBD+L/klgiYgcKSIR\n0u5o99a4T3NBZuM85G+cr3vKMAOAOnhNvl6RdTeafxdoAn6sqt+ocZdmhIj8FDiZdPntduDrwH+R\n3iC/GHgdOFdVp0926xIR+SvgEeCPpP1LAf6FdFxfN6/J16I3jAPBz+GNYRwQJnojcJjojcBhojcC\nh4neCBwm+jpGRKZcD9BnROTnIjJv2uNfFJFxETk4p+1kEdkjIk+5FagPi8hZ1e99/WKir28Sqnqc\nqr6LdGHaVdMev5D0It0509ofUdXjVXUp8Hng+yJyWuW76w9M9P7hMXIK6kTkaKAN+Cpp8Xuiqk8D\n/wZ8ttId9Asmeh/g7h04jfwyiwuBn5JeAV2acxkjLzYBx1auh/7CRF/ftIjI08AQMB+4P+exC4Db\nVdUBfgacW+J5zGY5BxN9fZNQ1eOAw4EIbkwvIu8mfaWW+0XkVdIfgKIhDum69s2V7ap/MNH7AFXd\nQ3pC+iW3dPdC0pcbPcK9HQosEpHDp5/rfkC+RnprpUFA/OkbAVV9SkR+T3pUv4D03uBcNrjtTwDv\nF5GngFbSteufV9UHqtnfesaqLI3AYeGNEThM9EbgMNEbgcNEbwQOE70ROEz0RuAw0RuB4/8BRWJR\nWdK1w+EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALcAAADBCAYAAACNFSFDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nxa1JW/4P+w+HwZfo3VcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALoAAADBCAYAAAB466rzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngRG6wRMYoRs8wf8DjaIfkmB+CtwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALcAAADBCAYAAACNFSFDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncBvIWRjCbSBnYQi3gZzF/wcWkzLr1UonmQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALcAAADBCAYAAACNFSFDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nbSFlYRm3hZTF/wcoy6HULdD/jgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAL0AAADBCAYAAACaN7GKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAL0AAADBCAYAAACaN7GKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALcAAADBCAYAAACNFSFDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFCz/H0lOYqXnkPjUAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALcAAADBCAYAAACNFSFDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAL0AAADBCAYAAACaN7GKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nH0SG00R1kT2lAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALcAAADBCAYAAACNFSFDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAL0AAADBCAYAAACaN7GKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALcAAADBCAYAAACNFSFDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nye1i6/8BpWHFpq/XznMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALcAAADBCAYAAACNFSFDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALcAAADBCAYAAACNFSFDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALcAAADBCAYAAACNFSFDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALcAAADBCAYAAACNFSFDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nf4cfsjTAjIzeAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALcAAADBCAYAAACNFSFDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n3EZgMXEbgeX/Ac3be3g52qpgAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALcAAADBCAYAAACNFSFDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAL0AAADBCAYAAACaN7GKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nh4neCB0meiN0/D8prJ+IhaphIQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAL0AAADBCAYAAACaN7GKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALcAAADBCAYAAACNFSFDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAL0AAADBCAYAAACaN7GKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\njNEbSo7/D+hsCVrfeGYIAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALcAAADBCAYAAACNFSFDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALoAAADBCAYAAAB466rzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nbrQEJnSjJTChGy2BCd1oCf4fKv8p1p5DO2sAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAL0AAADBCAYAAACaN7GKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAIABJREFUeJztnXt8VNW597/PnlsmNxNCAigBFQGL\nnigEr7wfj5Z6a22pBa+AVVsu0mqPrWh7enx7Tq3vEWlra5Wbbb2BFwr1tce+Wi1KPUelloBSiyIi\nYgJCQkggl8nc9nr/mNmbuew9mYRMQpj9+3zyyczaa6/97Jln1n7W77ksUUrhwEE+QRtoARw46G84\nSu8g7+AovYO8g6P0DvIOjtI7yDs4Su8g7+AovYO8g6P0DvIOjtI7yDsMaqW/7LLLFOD8OX/GX1YY\n1Eq/f//+gRbBwSDEoFZ6Bw56A/dAC+Dg2IWuK5o7QoQiUbxuFxVFXjRNetw3EtE50BkiFNWJ6gq/\nx8XQYp/tWN3BUXoHOYGuK7bta2POExtpaAkwstzPIzdMZvywkjRlzdRX1xWfHOigqS3IwjVbDh+f\nPZnxw9PHygaOeeMgJ2juCJlKDNDQEmDOExtp7gj1qG9je5D6AwFT4c3jT1qPlQ1ypvQiMl5E3kn4\nOyQi/yIiQ0TkFRHZHv9fnnDOD0TkIxHZJiKX5ko2B7lHKBI1ldRAQ0uAUCTao77hqE6h15X1WNkg\nZ0qvlNqmlDpTKXUmUAt0As8B3wfWKaXGAuvi7xGRCcC1wGnAZcASEXHlSj4HuYXX7WJkuT+pbWS5\nH687/SvN1Nfj0ugMRbMeKxv0l3kzFdihlNoFTAMej7c/Dnw1/noa8IxSKqiU2gl8BJzdT/I56GNU\nFHl55IbJprIadnpFkbdHfauKfVQP8bN4Rk3y8dnWY2UD6Y90QRH5LbBJKfWQiLQqpcoSjrUopcpF\n5CFgg1JqZbz9N8CLSqk1KWPNBeYCjBo1qnbXrl05l99B75AL9kbXFQX27E1Wq9qcszci4gW+Avyg\nu64WbWm/SKXUCmAFwOTJk3P/i3XQa2iaUFniO+K+brdGVWlB38nVZyPZ43Jis/y++Pt9IjICIP6/\nMd7eAFQnnDcS2NMP8jnIM/SH0l8HPJ3w/g/A1+Ovvw48n9B+rYj4ROQkYCzwdj/I5yDPkFPzRkQK\ngYuBeQnN9wGrReQbwKfAVQBKqX+IyGpgKxABvqWU6h0n5cBBBvTLQjZXmDx5stq4ceNAi+Hg6MHR\nsZB10D0M5kLXdaIKlFKWbIcVwwHQGggRCEWJqjizURRbEBp9PW4NtyYEQtbMSGN7kHBUx+vS8HqE\nrpCO1+2irMBNU0eIcFTH49KoKvahlKKxPUhEVxS4NXQgFNHxuTV0BZGojqYJfo9GVIdwVCeiK1ya\n4NEEr1sIhHTCusKtCT63RlfEiKk5fI5LEzwuIapDyHivCSIQ0cHrEoo9bgoKeq7CjtIPMIy4kwde\n2cbXzz+Ju9ZusYxVsYpPeeLmmBtj36GutLgUn0fjht++bbYtnlHD/S9to6k9mBTX8sG+NuavrLPs\nt3RWLb9a9yEvb21kZLmfp+acw8FAhFtW1lFZ7OPOy8azcM2WpNfGOEtn1aKhmLdyk9n28PUTcWla\n0vWWzJzEQ69up6ktlDTGJROquHXqOG5Jka2i2MvajfV8+cyRlPijDIMeK74TezPAMOJOptdWmwoP\n6bEqVvEpu5o72dXcaRmXsqu5M6lt4ZotzL9wTFpci6GAVv1uWVnH9Npq81gookwlnH/hGPO6ia+N\nvresrKOxLZTUdqAjnHa9Bas2Mb22Om2M6bXV5rUSZdvd0sWMyaOYv7KOcETRHOh5/I0z0w8wjLiT\nMr8nY3yJVXxKoddl9ks9zziW2Fbm9ySNG9GV5bmJ/YzXAJocvlaivHayp8pgF0OTeD0DmcZ0aUJD\nSwBNIKL3fE3qzPQDDCPupDUQzhhfYhWf0hmK2saldIaiaW2tgXDSuB6XZnluYj/jNYCuMPsnymsn\ne6oMdrK2BsJpY2QaM6orRpb70RW4ndDiwQcj7mRtXT2LpqfElyTEqljFp4yuKGR0RaFlXMroisKk\ntsUzali2fkdaXMuyWbW2/ZbOqmVtXb15zOsWlsb7L1u/w7xu4muj79JZtVSVeJPahhR50q63ZOYk\n1tbVp42xtq7evFaibCeUF7Bm46csm1WLxy1U+Hsef+NQlkcB+o69gQKP1iv2JhJnaKzYm0hUx52B\nvQlHdLwZ2JuortAM9sYjBILp7E0spsaavQnHx8yCvclq2neU3sGxhKyU3jFvHOQdHKV3kHdwlN5B\n3sFRegd5B0fpHeQdHKV3kHdwlN5B3sFRegd5h5wqvYiUicgaEflARN4XkfOcYk8OBhq5nul/Cbyk\nlDoVOAN4H6fYk4MBRi7L+pUCFwC/AVBKhZRSrTjFnhwMMHI5058MNAGPishmEfm1iBQBw5RSnwHE\n/1fF+58A1Cec3xBvS4KIzBWRjSKysampKYfiOzhWkUuldwOTgKVKqYlAB3FTxgZZF3tSSk1WSk2u\nrKzsG0kd5BVyqfQNQINS6q/x92uI/QicYk8OBhS5rFq8F6gXkfHxpqnEato4xZ4cDChynSN7K7Aq\nXs/yY+AmYj80p9iTgwGDk0Ti4FiCk0TiwIEVHKV3kHdwlN5B3sFRegd5B0fpHeQdHKV3kHdwlN5B\n3sFRegd5B0fpHeQdHKV3kHdwlN5B3sFRegd5B0fpHeQdHKV3kHdwlN5B3sFRegd5h1wXe/pERP4u\nIu+IyMZ4m1PsycGAoj9m+ouUUmcqpSbH3zvFnhwMKAbCvHGKPTkYUORa6RXwsojUicjceJtT7MnB\ngCLX1RCmKKX2iEgV8IqIfJChb9bFnoAVEEsM7xsxHeQTcjrTK6X2xP83As8RM1ecYk8OBhS5LOBa\nJCIlxmvgEuA9nGJPDgYYuTRvhgHPiYhxnaeUUi+JyN9wij05GEDYFnsSkWKlVLvNsTFKqR05lSwL\n5FOxJ11X5rb3qVvdOzBxxMWe3hWRq5NGFCkQkZ8ALx2JZA56Bl1XbNvXxpVL3mDKote4cskbbNvX\nhq476/jeIJPSXwLcFPeaniIi04C/Az5gYr9I5wCA5o4Qc57YSENLAICGlgBznthIc0dogCUbnLC1\n6ePmy+UishD4ANgLXKqU+kd/CecghlAkaiq8gYaWAKGIs+TpDWxnehFxi8gPgHnAAmAj8GBC6W0H\n/QSv28XIcn9S28hyP163E6XRG2QybzYT84jWxnf/+CrwAPC8iPxnv0jnAICKIi+P3DDZVPyR5X4e\nuWEyFUXeAZZscCITe1OrlKqzaC8A/k0p9W+5Fq47OOyNw96kIKsPJJNNn6bwcdQC5TbHHOQImiZU\nlvgGWoxjAlk5p0TkTOB64GpgJ7A2l0I5yE9EIjqN7UHCUR23JnhcQiSqKPVrHAzoiIBSoCuFz+1i\naLGvV087W6UXkXHE4tuvA5qBZ4mZQxf19qYcOLBDJKLzwb425q+so6ElwMhyP0tmTsKjKZo7NX61\n7kO+fv5J3LV2i3n8kdmTGT+8pMeKn8mm14H/Br6hlPoo3vaxUurkI73BvkKubPqe2M+Z+g4GOzwb\nGXVd0RoIEQhFiSpFgcfF0CLrWdYYT9d1ovFZWRPBJaBpmrn4Tr3m3kNdXL38rSRqdmS5n2fnnss1\nKzZw9xUTuOeFrWnHn1swJdHsOzKbHphObKZ/TUReAp7JdtDBDMP7aTiDDKZk/LD0GSVTXyDrcQYK\n2dyrris+ae5g36EuFq7ZkvFejPEeeGVb2qy8aHoNj7+5k+9f/jmCET3tmoVel6UvIqIrGloClPk9\nfearyERZ/pdS6hrgVGA9cDswTESWisglPb7SIEFPvJ+Z+h5NXlRdVzS1Bdnd0klTW9AMX8hGxuaO\nELuaO02Fz3QvxnjTa6tNhTf637V2C9Nrq9nV3Gl5TU3E0hfh1mLtrYFwn/kqMin92wBKqQ6l1Cql\n1BXEYtzfIfPO34MaPfF+Zup7tHhRM8XtZCNjKBK1nYVT78UYz25WLvN7bMfqCkdYMnNSki9iycxJ\nHAoEWTqrlrV19SyaXpPsq5jdO19FJvMm7RmslDoALI//HZMwvJ+ptqPVjNJd32zHySXsZvPnFkzJ\n6l69bhedoWhW92KMZ8zKqf1bA2G8Ls3yWENLFy/+/TOemnMuuq5wuw6zNyV+jR99+TRE4Nm55x4x\ne5Nppq8Uke/a/fX4SoMEid7PidVlPHrjWaz8xjkoVFpUYyZPqd2xcr/H0tTIFTLN5tl4eiuKvIyu\nKGTxjJqM/Yy+j9ww2XJWXjS9hrV19YyuKLS85uiKQt78uJnvPL2Zzw4GuHbFBs75P69yzYoN7G4J\nMeI4P8eXFXJCeSHVQ4qoKi3o9dooE3vzGbAUm8WrUuo/enXFPkQu2ZvWQIjPWruYl0Ch2S3esmVv\nyv0etje19+vitqktyJVL3rBlPXrO3kCBR8uavVFKIVmwN4ltfq+LiK4IR/Sesl7Zdcqg9JuUUpOy\nGWSg0FdKn/jFG19QVGFJoaVQZD1CdwqYC/SEjTqSa2RS4kTFtZoIDgXDBEJRRMAlQkRXRHSFSxN8\nbo1wRCcSpz49mhBVCqWgwu+loCDJQj9iyrJPPpF4waaNwG6l1BUiMoSYo+tE4BPgaqVUS7zvD4Bv\nAFHgNqXUn47k2tnOYqlKsWh6DcU+t6VZEAhFaGoj45fYEggnzXTGte1MjUA4wu6WqOWM2FN+PPVe\nNU0YP6yE5xZM6RN/QbZPL59b44bfvp3UNrayOKnvJROquPOyU2lqC/LoGztZcNEphCM6t69+1zz+\n7c+PZcGqTeY4i2fU4Pe6WPLaR9w6dRxjK4pSFb9bZLLpp/bqU0nHd4D3E973S4WzbLONrBZ6d63d\nQqHXOpz3/b1t5liRiJ52jQ/2tfHr1z/io6YOrl7+VtK1PW7NcswdjR1MWfQaVy9/i4+aOvjhc1vY\ntq+N3a2dbNvbxjUrNnDB/ev52pI3Le+hu3s14nZOKC+ksqR3iz+76+w5GLBcKO9q7kxra2wPJvWd\nXltN/YEAC9fE6MyWjrCp8MZxQ+GNcRau2UJLR5jptdXcsrKO5kDPKWBbpY8zNUcEERkJfAn4dUJz\nv1Q4y5Ynt5t9u8JRy8XYsvU7bL/EymIfTW1BrjvnREIRncpiX9K13ZqwfHZt0piLZ9Tw4LrtZr/H\n39zJwktPpSMYAYRH39iZFT/+wCvbuPuKCTw791zuvmICD7yyLSufgB2Hn3qsuaOLvYe68Lk1Hr3x\nLK6uHUlDS4DGtiANLQEmVpexfHatef2hxcmL3IaWAJGonvRZJ1KYVnSmHfVZ6HWZxyK9IAJyXezp\nF8CdQElCW1KFs3ghKIjF7m9I6Gdb4QyYCzBq1CjbC2fLk9vRdnsOdrG2rp7V884jEtV5f28bP/3T\nNjbXt5pjhRO+xInVZdxx6fg0L6RxTsw0ijK0yMvdV0ygzO+hqsTHd1e/a445sbqMr59/Ejc99rek\nMZraQknXTb0HXdctPaC6rtt+PrHzsvMoVxb7uPOy8Uke2SUzY8u95o4Ql0yoSrv+kpmTmFhdZso9\nstyPO4WuTKQwrehMO+qzMxQlFNVN51VPkcu6N1cAjRlClNNOsWizrHCmlJqslJpcWVlpO1i22UZW\ntJ1Br91+8XiGlxbg97q554Wt5hdo9PO4Dpsr8y8cY+mFnH/hmKRra5rGPS9s5ZoVG/iwsZ2m9qA5\nZndj2N1DVGF5XneTYLYe5fkXjknzyC5YtYk5F5zM2rp6fvilCWnXX7BqE7dNHWvKvHxWLW4Nls86\n/KRbW1fPyCGxp93aunrKizw8cPUZScdTHVaLZ9RQXuRhbV09S2fVUuHvW+fUkWIK8BUR+SJQAJSK\nyEriFc7is3zOKpwZypw6i6Vyy6kLPWMxee+VNeaCz26sqmKf2Z7JC5l6beOcZet3sHhGjalQFUVe\nyzGM8+zuQSlleV4woqPrytaG7+5paByzuzeXJtx+8XhcmlgeH1NVxBt3XUREV9z7x628vLWRSyZU\n8cTNZ9MRilLicxPRo7g1jX/94gS8bsElwrNzzyUal9vn1lg999w09uZHXz7Nir3JCjlTeqXUD4Af\nAIjIhcAdSqlZIrKYWGWz+0ivcPaUiPwcOJ4jrHDWE9aiuwSNTGMltls9ig1KMvHaief4vS5+v+B8\nwhHdPCd1jBHHFfD6nRfZ8uN2JtrO/R0U+dy295atR9nOzPC5NU6sKGLvoS7L424tZkjM/PUG89jL\nWxvZ+lkbj954Fjv3d3D38++lnXfPtNMZP7yEbXvbLI8fKcU7EKW67wMuFpHtwMXx98SrLBgVzl6i\nDyqc9RVrkWkso31YSUHaIvWRGyYz4jh/2rUTxxpS5KOqpIATygsZcZzf0ls54jg/o4YUUlVi7YWs\nKPImmQ0jy/08fP0khhbHaFI7r293HmVjTOOJlNhv2axahsXlcQmWi36XkLTuMWA8JezicAq9LiJR\nPeuYn54i1wtZAJRS64lFaqKUasaGDlVK3Qvc2x8y9SV0XbG9qZ1f/vlD7r5iAhVFXqpKfBx/nL9H\nP7TecuqaJowoK+CeaadTVujhOL+H+158n5e3NmZ0RnV3PWPMQq8Lr1t44uYYmeZzawwrKcDt1uLj\naDz+5k5zgd4aCPP4mzu598oaPC7rp1dUV7YxPZ2hKG6XlnXMT09h65EdDDhaEsMHwtOaCoOJ2Xuw\nq89Mgmy9uZn66bpKy4haPKOG5zbtZua5owglOKOMY8NKCxhVXsinLZ1ZxfEn4MjCEAYDeqP0vclm\n6u6c3S2dTFn0Wtp5b9x1ESeUF/ZIviORW9cVDa2dXHD/+j6TJdvPK1M/I/c1EtXxuDS8HqErpOP3\nulAogiHdDDvwe12U+Q97u7ON+YnjiMMQjjn0Jg4lm3N6Eo6cS7k1TfB73H0qS7ZVGDL1c7s1ji9L\npo8psnmdMuaQIp/t8d4ir2b63pgh2ZxjpNTtau6k0BuLPx9dUciJFUV9EtSVKMPE6jLmXziGiiIv\nx5f5qSr20RIID2gk51EEZ6ZPRXe8tNUjOlvPbjCim7a0oWh2YwJp4beZTAdDhlSv7yUTqrht6rgk\ne9kI7OqrALNjEXml9JnMEDsToqLYa8s+GI4fO8/m7xecT3N7yDIC8b4X308vaWEzIxtyp3psp9dW\nmwqfeN3+XEAPRuTVjuGZeGk7xVW6SuPAF02v4Sd/3GoGdNkGrYWithGIVsnTdonjhtypHtu+rBCQ\nT8irmT4TL22nuI1tQUr9Hh676Sw8rtgccaAjxPTaajOgy+4JEk0IDzBscSPQrD0Y6VZhE02jiuKY\nwyibgCynmnFmHPML2dT0taiuo8lhagxi9nUgHGFHY4cZ5vvvX5lAVWkBze2hNI75/pe20dQeZPns\nWj43vBRIr3GzeEYNAAvXbKGy2Mf3Lz+V7/3uMB+9fFYtf3ingeX//QkQ+1HcNnUsY6qK8HvcWSVn\n2Nn0fbFo7Y6qTDx+BOl9fQ2Hp89UfMhwggBJGT4PXH0GQ0u8tHVFaW4PWTp67r5iAvOerLPNNQX4\n9lObAbjj0lhA1h2/ezdtnFXfPId7/7iVprZQWujuU988h+t//de0c56ecy4fNbabLNEpVUX4PK4+\nVbjuKNLE41ZhxwPIFh3xnlODHpmKDy1cs4VdzZ1pGT63r34Xt+ZiwapNtrEfZX6P+dpQ8sR4Gq/b\nRVN7kM31rfz0T9sYXlpgOU5TW5CFl57Kz68+Iy1010jOSD1n36Eubnrsb1yzYgM3PfY3rnvkrwjS\nJ/FFqZ+b3Xqju7Djo31roGNa6bsrPlTodVHodaW1G7a4XVWt1kDYfG1lPycumDfXt6JQluM0d4Q4\n0BGyVPDmjpDtOany9vXCtTuaNvH4YFxMH9NKn1p8KBFGYFNnKJrW7oqXmFu2fkda9ODiGbGUQbvY\ndji8YP7Dt6fwxl0X4XNrLLNggNbW1dMaCFvKt7auPi1qc/nsWKWvVHn7euHaXQJO4vG+LLfXX3Bs\nekjL2i8rdLO/LcQtqzZRWezjtqljOXFoIV6XRoFXoyvUvf2cahdfMqGKH35pAq2dYfYeiqUifvvz\nY3no1e2WNr3hZOovb2vqwnTfoeAR2fRWsie+zyaGJ5t6OSljOAtZsGJvFJqQxt4kfpBGoFNrIIIm\nsXMeef1j3vy4mWfnnpv1l3bNig1Jj/6R5bHS08GIjiLmiS3wuOgIRjjQEUJEGF5aQKGv56U+su2T\nuPGBx6VRFS+NZ4RRlBV6KCnwUFLgIqpDJKrj0oTY6bH/mqZRVuCmqSNEOKpT4NaIqlhfTYtlN7k0\noSsSDyQTwefRCCW897qEYETH59aIKkU4qvBogt+r0RVR5vekK2gPRij2uSlwawTCOpFo7Lv0uYUT\nygoT798JQ9B1xf6OIMFwFE0ETQOfRaReovfSiI3vCEaYseyttDEPdITY3x7ipKFFacoZiejsORhb\nhFYUeaks9iUpfUNLgM8OdjFj2VtJMTTDSgv4zX/vZHVdg8kI2c3cVoFdiUrucWu0d0WSaM1/+9IE\nXJrgcWkc6gpz46OHE8+XzaqlekgB+w518fTbu5heW01UV7jEC6I4FIhwoCNsskVDi7288O5urjpr\nFPUHAgwt9hL2unFpIAgP/Xl7bHKYdw5KHb6HSDTKj/9rK9Nrq6ko8jKkyMvGnc1MPqmCA/Gc3LV1\n9dw2dRxRXefh1z5KezovnVXLr9Z9aOYJLJk5iZKCEGWFPfM+50zp4xuyvU5ss2U3sEYp9aP+KvaU\n+gi+bepYRlUU0tQWoL0rYhsMtr8j9li/+4oJaY6fSyZUoSvSYmzM6gGNbcx78jBn/sDVZxDRY7md\nrYEwa+vqae4IWVZOePj6SWxvbAdiC8XdLZ1ZUZBW9OLSWbVmzPq0iSeY1Kdh1hk/xoaWAA+u+5Af\nffk0Sv0evnXRWL711KakHwQk3+/iGTV8fcpJ7Gru5Om3d/H180/iloRiTA9fP4nJo8s40BHhlgT/\nwbJZtXznC+OSPp+ls2qTkl0WTa/hwXUfct3Zoy0Zt1tW1nH3FRN4eWsjDS2x5PNn555LWQ8jpnO5\nkA0Cn1dKnQGcCVwmIufST8WeDFqtstjHHZeO5+7n32Pqz/7CHb97l32Humi1KRLUFY4xE+u27kvL\nxP/hlyaYSgHp1QOML9Q4dvvqd+kK61yzYgP3vLCVW6eOY2SZn+9dMi7tC/3WU5v43iXjuPOy8Vyz\nYkNa0Sa7+jTGjzRVOUTEsrrCwjWHqysYJUcMMyz13uavrONARzjtfF1hFmiyuo/zx1aaCp84VuOh\nYJqc02urzfdGDfvEujaJSKSLjfe9qXuTM6VXMbTH33rif4p+KvZk0Gp2X3wgZE2pGczN1AnDeOjV\n7UkFlFo7w5ZfRKZ69KMrClk+u5bKYh+3rKyjsS3IiDK/Zd8Rx/nTOO8HXtnG3kNdfHqgk/d2H+Tb\nT21O+jEYP9LUsYYWeznQEcqoOImfTSZaN7Ut2s3uIMbxbMZKVeKKIi+doWi3dLHx3ggN6QlyatPH\nZ+o64BTgYaXUX0WkX4o9GbSa7ReTMkGYC16leOLms9GVYnpttZnzuWz9Dr53yTjLWBePW0MQy2MC\neF0aP/rKBP7jD1sp9Lr4tLkzqa8RguB2Cfd97Z9waUKxz02hz40msG1vGw+u205Te5BF02t4fvNu\n9h7sotjnwi3C7+adh64UuootAAs8LnxuFy7NvlgSkBTAlqmwkgFDToBHbzwLXSnLc1ya9WdhRQ+n\nKnFliQ+PS3j4tY9YNL3G0qY3+i6bVUtVcc+jSfuFvRGRMuA54Fbgf5RSZQnHWpRS5SLyMPCWUmpl\nvP03wP9TStlu35mJvekuZ/T3C86nqqQgqW+qXZy4aHr4+kkMK/Wyc39nEj23eEYN44eXUOrzWO6O\nt/KtXbz5cTOLZ9Tg1jQOdIZYtn4H93z1dOavrLOk/B6+fiJdYT0pVseollZZ4uV7l4xnT2uXubgc\nUuRh1YZPuXLSCUnjLJ05CV0pvvXU5sNrkNmxcOmucBSXJqZpY7XOWDpzEgUejZses6YmH7j6DDxu\njW8njL98Vi0nlPuobwmm2fQ+t3DTY/af8fJZtYwo89HeFY0vvIWIfrjcd4FHCIR0orrCHWeejOR0\nQ52y0sf+oixF5EdABzAHuDCh2NN6pdT4+CIWpdR/xvv/Cfh3pVQ6hRJHNjx9SyDI3tZgxjrzdtlR\nRoyN8f7Jm8/mu6vfNaMljSfAQ9dPxOt28cPntnDTlJMYXlpAVCn2t4dQSnHdI38142Zue3ozTe1B\n/vDtKUR1LKnNR288yzbmpzRe3Cj1h3d8mZ+ZFrE6933tn+gIRSnze+gMRampLkXXY1GlHpdGfUsn\n33nmHUtfwrL1OwBYfNUZuDSY/Zu308Zf9c1zzNJ6iQvvcDgay4vVYwr7/KYGXt3WFCMUhhTyUVM7\n67buY+qEYWYWWFc4muYz6aEPYmApSxGpBMJKqVYR8QNfABYRK+qU82JPQLw6WQHlfp8ZTuxxa7g1\n4bODgW6zo1LtzahSNLUHzR8CHPY+hiJRmtpC6ApmJ3xxSxNqOupKUVni5Z6vno5CEYroSeHHBjLF\n/FSV+pKUz1ijPD3nXMtzPC6NeU8e/hj/svBCntrwCZNOrDBDlX961RkMLfZSfyDAw69+xLSJJ5jb\nV8bMFdDEuoqZrkhK5jbg8bgYcZzfdA5Or63mvFOGUlXiw+MWvC6N6bUj6QxFGVbqwx3n9ld+4xwA\nPjsYW8/ce2VNUlpmX2xRmkubfgTweNyu14DVSqkXROQtYLWIfAP4FLgKYsWeRMQo9hShD4o9GTC4\n7Z5mR6Xam3sPdqXZmYlJKLdNHZtOs63aZO6B+tnBLm6bOg6PC6Y99CYNLQEevfGstGtnqgdjp3xR\n3dq+Tr2Hj5s6+NIZJ/DQq9uT+G4jDmnqhGHsPtDBM3POJRSN5Qt0BiM0toUs1yG6rni3/iDVQ/yM\nLi+ktSuSpJRjK4stqcoNO5qYdGIFw0sLEBGCkSgfN3WYa5fFM2pYcNEpZs5CX24ukUv2ZotSaqJS\nqkYpdbpS6sfx9mal1FSl1Njd/SqkAAARGklEQVT4/wMJ59yrlBqjlBqvlHqxr2Wyix50a5KWUbVs\n1uE4F8Om/tnLH/LTP23jnmmn8+fvXsA9005nWGnMOVXu93Di0EJLhawo8vKzq85g0YsfMH9lHXta\nD1N3D67bnlY9bEiRh59ddUZSm2FfN7UFLVmN/XFFSTxnycxJaffw4LrtLFi1KYkqXLBqE9v2tnPN\nig2sratnwgllXPvIBj7/s79ww2/f5lBXhBf//pkZhzSxuow7L4vTwD//C3c//x4dwQgfNran1cg/\nFAynUbm/WvchX6yJPU2mPfwG167YwKcHAjz99i7uuHQ8lcU+sw69QTj05Ralx3wYQiIy1acZcZw/\nbYeNA4EQwbCOrg4XIE1cVG6ubzXryTS1BdnR1G4ZN//ojWdx55otZtVjYxdsAxOry/jV9RMJRXT2\ntAZM9qbA46I9GKGs0MN3n42V9J5YXca/fvHUpAJJy2fXUub3IAJKQWNbkMa2oGkzp5YFn1hdxs+v\nPoPGtqC5LvnxtNPYc7CLcVXFpnmWeA93XzGBZet3MP/CMZZ97NYhq+eey8f7O/C4NMLxkIbhpQW2\n17jnha2s/MbZ7DsUpKrER6HXxbDj/Oxu6eSXf97OnAtOxqWJGRrynS+MTazn44QhpMLYCcSKckx1\n7+u6MpO6K4t9LL7qDOZeMIbmjpCp8InRhKFIlEUvfpBm/iyeUZOk8FbUXVN7EK9bQ9cV3//939Pk\ne+qb55glvZvag5QXefn9LecTjsaywNqCYXMxnBgJurm+1QxtuPuKCabC33nZ+KR1x8PXT0QB97yw\nlZ9ddYbtemJzfSvznqxjzfzzsl6HdEV0854M2dpD9msoY51w34sfmNlplSUFFPlczDpvdFLt/iUz\nJ1Hk67n/Mq+U3q1JUmls40uwKuyf+DhtaAmw8Hfvcudl45MWeImhxX6vi9umjqW0wM2jN55FezCC\n16UxpNgbYz8E9reHKC/ymLtjJ44zxO/loBZi2axaHlz3oRmjUlXiY0RpQVKV48TUPE1T3Lw8+bG/\ncM0W7pl2Ojc99jdTOR56NZYGedvUsWkOsAMdYXOW7o6vH1nuT8vVBft1SGqSzsI1W3hqzrm26w/j\nnPkXjmHek3XMe7KO5xZMIRzV07biWbBqE6vnndfjMIS8UvpAKMr9L21LKjR6/0vbeOj6iVCUzA6k\nsiqb61u5/6VtPDPX2Nz3cISiriv2HQomxagsnzUJBVy17K2kH5iGMKq8MCk5PTFk+PyTK9I2F7Pa\nHSSRF7cKbDu5MlYbXuIRjf/+ldP50ZdVt2yRkUOQ+LRaPruW4aU+1t9xITv3d7B0/Q5+ee2ZJtU5\nstxPVYmXZbNqk/wUS2dO4n8//4+kazW0BBBU2jUWTa/h8Td3mqbj9y8/1ewfikSJ2Hh5I9HMu61Y\nIa+U3kjjs6IcU9kBK1alqT3I9n3t5gxqKKPVIquxLTm/NnEGLvF7kkypprbD8TNTJwxLm9HmPLGR\n1fPOw61J2nXmrawzZ/Xke4qZSxFdx+1yMTy+2bCxELabpY0Ux3umnc6YqmL8nsPUYHmhosjnZtyw\n4lhd/VvOpyui44qHapf6PKyedx57WgM0d4RoD0aSdloxZOsK62aV41OHlxCOKgKhCNNrq/npn2JJ\n96nZaRLfbif16eDuRRjCMZ05lYqe1L2xYlWWzarllKoi/rLwQn5xzZl0BCPsPdSFruucf3IFr9x+\nAa9+75955fYLGFlunRdb6HURCCfXjM8m/W5Pa4COkHXZkJOGFqXJ2XioK21XwkhEx6WRlpGVuot3\nU3uQ4ccVMLLMb1mL36yrX1rAqCGxuvpRHfa1dVHg0SjyxbYruv+lbWmf4eIZNTzy+sfcNOUk7nlh\nKw+/+hGdoQi3rNrEvCfrTLoyNTutqtiXln12VIch5Ap9WbXYitmZWF0WM33A3ELGKstpxexa3C7h\n5hQXe93O/YwoLzJNqbV19Vx39mgAhh9XYHLMiR7h5bNrzXWDAWMh6nVptiEVgpjZRrtbAty++h3L\nBfFP/riVBRedQktCjPzoikJGlRdmldlk9XmmmlxP3Hw2xQVuwhE9aQ1iOAYDoeS1SZHPRWdIT6tq\nnKn68aAIQ8gF+rI+faZCreGobu4ebqeUVibGM3PP5doEVmXJzEl43cIP1r5HU3swqXxIpvQ7w84F\n+PG005Li15fPquVzI0pNxdjdEls4JlKiBtbMP4/mjpCl/L0tBXg01OZPQP5RllazuK6rtPS4lNkB\nyLwxW31LZ7fmh1XYbChyeOsZg22472v/ZNKXiRUDhpX6YhuMKSjyaUm2cSJF2h6MmAvxzlCUEWXJ\nW/J43S5bJqW5I0RVic9S/t5WL8imwG1Pwwf6KtzADseM0ls9Zp+ecw4HA5EkRmHZrFpOHVaSpviZ\nSv4ZW2dWFvsYYkHXWXHvI8tjRV4T0dASMOO/7RbQxo9tbGUxLZ0h7nl2a9KTIjF84JEbJpt5vgYq\niryMrihMo2aXz67lD5sbuObs0Zby97Z6QXe1+XsaPtCX4QZ2OGbMG6vH7J+/+8/c+Gi652/1vPPS\nNwmIw+5p8cmBDpragjz6xs70asOzJ+NxS1Lu6dJZtbxgUbaveoif+gOx7SYL3LFFrSYCKA50xALW\nSgo8FPk0XKIBikBYRynQBLxuDcG6QoBhM4cjOiKC8d1GdGXu9NEVjuJza+w7FDTzUr/zhXF8bnhp\nklJlqkqQ7dY7qeuVxO/Azvw5QnMpv8wbq8esJlg+eu243UxfYGmBx1TqpraQuaHa8WV+hpcWoOvK\n3F3c7dIYWuhBzhzJH9/bl2anXzKhilunjuP6lcm5qxXFXn79+k7e/LiZRdNreH3bPr585si0WprD\nSgs4sSKWC2BVQ/P+l2Jx93dediotHaG0PZ1KC9zc+8f3aWoPxvIEUiqjWX0OBo9++8Xjk2bd7jZr\ny7a+f6bv8UjMLyscM5SlVYEiXWEZnGXH7WYKakrcGtJwx89Y9hZKxWrUG1vMjKoo4vgyPweDUf7r\nnQYevfEsHrxuYpIXdHptdVoO6cI1W9jd0sWcC06moSWWLzpj8qi0+vNGOcK9h7poaO1k78EuKuO0\nnXF8/oVjmF5bTf2BgKnwiccb20LMv3AMlcU+DnSE6AhFk/JurT4HI3/VKsgr09al2e7c3tv+vcEx\no/RWHLzPLT3idjPNMj39MnRd54Lxw7jpsb+xpzWQNG6mxbArrjANLQHbnbgLvS72tAa44P713P38\ne9xx6XgmVpeZx8v8Hsr8noz7tFaVHE6Y/+fF65PybjPlF/R01s3kG+mL/r3BMWPe2D1mR5Qmmx12\n7A1kXpRlYnesEFWYdn9qPEum+BZj8WsshO36GbHuxiycWEnZ8GZ6XdYBdrEUQy+3Pr057an23IIp\ntp+DIXdPZt2e7o3b2710e4JjZqYH68dsqtlhp/CQeZZJ/DLeuOsinlswJSOjoBJiXFJrYq6tq2dp\nSnmRxTNqOKG8gEde/9i0odds/DTtSbV4Rg3lRR4zlQ8Oz8LG8WXrd7C2rp7qIbE81tTzq0q8tlUU\nQpGo5edg1N7szazb053b+3KndyvkjL0RkWrgCWA4oAMrlFK/7MtiT7nYPLkv9k2FdBbC3HShsgi3\nS+PxNz7m4tNGMLTYFzdpFIVeF11hPYktKStwsz++ptC0WJrdv/3fv/Py1kbzWiPLY+UCEz2eZk5A\nZ4hQVI+XyRMOdYXpDMb4/Wstyg5a1dvPxN4cZRhYj2w86XuEUmqTiJQQKwXyVeBG4IBS6j4R+T5Q\nrpS6K17s6WlitW6OB/4MjMuUMjhQO4ZnwyVn6gPprEu2XHRf8d5jK4uPxa03j64wBBF5Hngo/tcv\n1RByhWy55ExPgyPxOmbapjN1PKOeZ1c4ikuEIp+LUFSlxcWkntMXHtGebOFj9ZTqRSzQ0cPTi8iJ\nwETgr0C/FHvKJbLlkrsrtup1xyoG9Dix2SLLK5vZPJs9qqzGWj67lvFV6V7sTMg0jqYJrYEQn7V2\nJZVmSfQxpMq5YnYt43oog+3nd8QjdAMRKQbWAv+ilDqUqatFW9pjSCm1Qik1WSk1ubKysq/E7BF6\nyyUbipCaPJ0YZtwb2PkXGtuT61za7TubyLtbjTXvyTr2HAz0SE67cT471MW2fW28W3/QVHjjeKKP\nIVXOuU/Wsbet64g/K8ix0ouIh5jCr1JK/T7evC9u1hh2v7EiawCqE04fCezJpXy9RW+55L7M6E+E\n3ZMnkuBQg+y2ysm0tWhP5LR/GurMeWJjxto+dnJG4k/JI0XOlF5EBPgN8L5S6ucJh4xiT5Be7Ola\nEfGJyEn0QbGnXKGn9KWBXLnY7Z487jhPbyCbrXLsxkrcOfFIZDJCQzIVaLU75hLpk3CEXM70U4DZ\nwOdF5J343xeJVTa7WES2AxfH36OU+gdgFHt6iT4s9pQL9IZLzpWL3e7JU1XsS2pfW1efxvunPqEq\nirxpmVUGR98TOe3G2d8eKxqVaT+vtXX1aWXSF8+oQaH6JBzhmImyHAzIZdisHVOS2p4NK5K4o4oR\niZkaaJYNrMb5/uWfIxg3cYzNMk4aWoTbJXzW2oWuFD63Rnmxl48bO8zsrhPKC/B7XKnb7aTi6KIs\nc4HBpvSQ+wSJvkIuaUtIp1dT2xL3tHJrMaq1tKBbGY4eytLBYVjRmEcj+kpOu3GyabPLeThimXIy\nqgMHRzEcpXeQdxjUNr2INAG74m+HAvsHUJyBQD7eM9jf936l1GXdnTyolT4RIrJRKTV5oOXoT+Tj\nPcOR37dj3jjIOzhK7yDvcCwp/YqBFmAAkI/3DEd438eMTe/AQbY4lmZ6Bw6ygqP0DvIOg17pReQy\nEdkmIh/Fc26PWYjIJyLy93jE6sZ42xAReUVEtsf/lw+0nEcKEfmtiDSKyHsJbbb3KSI/iH//20Tk\n0u7GH9RKH9+j9mHgcmACcF08wfxYxkVKqTMTeOrvA+uUUmOBdfH3gx2PAalOJsv7jH/f1wKnxc9Z\nEtcLWwxqpSdWOeEjpdTHSqkQ8AwwbYBl6m9MAx6Pv36cWMWJQQ2l1OvAgZRmu/ucBjyjlAoqpXYC\nHxHTC1sMdqU/AahPeG+ZTH4MQQEvi0hdPEEeUhLtgSrbswc37O6zxzow2EOLs0omP4YwRSm1J15B\n4hUR+WCgBToK0GMdGOwz/aBJJu8LKKX2xP83As8Re4zbJdofa+izggKDXen/BowVkZNExEtsQfOH\nAZYpJxCRonilOESkCLgEeA/7RPtjDX1XUEApNaj/gC8CHwI7gB8OtDw5vM+TgXfjf/8w7hWoIMZm\nbI//HzLQsvbBvT4NfAaEic3k38h0n8AP49//NuDy7sZ3whAc5B0Gu3njwEGP4Si9g7yDo/QO8g6O\n0jvIOzhK7yDv4Cj9IICIXCkiSkROTWgbKyIviMiOeFjCayJyQfzYjSLSlFBD9J08CMTLGo7SDw5c\nB/wPMecbIlIA/JHYPl5jlFK1wK3EuHwDz6pYNKbxt7XfpT5K4Sj9UY74phZTiDloro03zwTeUkqZ\n3mel1HtKqcf6X8LBh8EecJYP+CrwklLqQxE5ICKTiMWOb+rmvGtE5H8lvD9PKRWw7Z1HcJT+6Md1\nwC/ir5+Jv0+CiDxHLObkQ6XU1+LNzyqlvt0/Ig4uOEp/FENEKoDPA6eLiAJcxMJm/wO4wOinlLpS\nRCYDPx0QQQcZHJv+6MYM4Aml1Gil1IlKqWpgJ7EAuyki8pWEvoUDIuEghDPTH924jvj2RAlYC1wP\nXAH8XER+AewD2oCfJPRLtekXKKXezKWwgwVOlKWDvINj3jjIOzhK7yDv4Ci9g7yDo/QO8g6O0jvI\nOzhK7yDv4Ci9g7zD/wdUB7/vFL3aSAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALcAAADBCAYAAACNFSFDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nWxNatHFrQsv/Agtd5wlW6A2dAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Scatter plot of only the highly correlated pairs\n",
    "# 使用SVG格式可能导致pairplot变得非常慢\n",
    "%config InlineBackend.figure_format = \"png\"\n",
    "for v,i,j in s_corr_list:\n",
    "    sns.pairplot(df, x_vars=cols[i],y_vars=cols[j] )\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. 如果发现特征之间有较强的相关性，在选择线性回归模型时应该采取什么措施。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "如果特征之间高度相关，可考虑进行PCA降维（特征层面）或加正则项（模型层面）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## 4. 当采用带正则的模型以及采用随机梯度下降优化算法时，需要对输入（连续型）特征进行去量纲预处理。课程代码给出了用标准化（StandardScaler）的结果，请改成最小最大缩放（MinMaxScaler）去量纲 ，并重新训练最小二乘线性回归、岭回归、和Lasso模型。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 从原始数据中分离输入特征x和输出y\n",
    "y = df['MEDV']\n",
    "X = df.drop('MEDV', axis = 1)\n",
    "\n",
    "# 尝试对y（房屋价格）做log变换，对log变换后的价格进行估计\n",
    "log_y = np.log1p(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# RAD的含义是距离高速公路的便利指数。虽然给的数值是数值型，但实际是索引，可换成离散特征/类别型特征编码试试。\n",
    "X[\"RAD\"].astype(\"object\")\n",
    "X_cat = X[\"RAD\"]\n",
    "\n",
    "X_cat = pd.get_dummies(X_cat, prefix=\"RAD\")\n",
    "\n",
    "X = X.drop(\"RAD\", axis = 1)\n",
    "\n",
    "#特征名称，用于保存特征工程结果\n",
    "feat_names = X.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\ProgramData\\Anaconda3\\envs\\py2\\lib\\site-packages\\sklearn\\preprocessing\\data.py:334: DataConversionWarning: Data with input dtype int64, float64 were all converted to float64 by MinMaxScaler.\n",
      "  return self.partial_fit(X, y)\n"
     ]
    }
   ],
   "source": [
    "\n",
    "# 数据标准化\n",
    "from sklearn import preprocessing\n",
    "\n",
    "\n",
    "# 分别初始化对特征和目标值的标准化器\n",
    "ss_X =  preprocessing.MinMaxScaler()\n",
    "ss_y =  preprocessing.MinMaxScaler() \n",
    "\n",
    "ss_log_y = preprocessing.MinMaxScaler()\n",
    "\n",
    "# 分别对训练和测试数据的特征以及目标值进行标准化处理\n",
    "# 对训练数据，先调用fit方法训练模型，得到模型参数；然后对训练数据和测试数据进行transform\n",
    "X = ss_X.fit_transform(X)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\n",
    "\n",
    "fe_data = pd.DataFrame(data = X, columns = feat_names, index = df.index)\n",
    "fe_data = pd.concat([fe_data, X_cat], axis = 1, ignore_index=False)\n",
    "\n",
    "#加上标签y\n",
    "fe_data[\"MEDV\"] = y\n",
    "fe_data[\"log_MEDV\"] = log_y\n",
    "\n",
    "\n",
    "#保存结果到文件\n",
    "fe_data.to_csv('FE_boston_housing.csv', index=False)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 重新训练最小二乘线性回归、岭回归、和Lasso模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>...</th>\n",
       "      <th>RAD_2</th>\n",
       "      <th>RAD_3</th>\n",
       "      <th>RAD_4</th>\n",
       "      <th>RAD_5</th>\n",
       "      <th>RAD_6</th>\n",
       "      <th>RAD_7</th>\n",
       "      <th>RAD_8</th>\n",
       "      <th>RAD_24</th>\n",
       "      <th>MEDV</th>\n",
       "      <th>log_MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.18</td>\n",
       "      <td>0.067815</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.314815</td>\n",
       "      <td>0.577505</td>\n",
       "      <td>0.641607</td>\n",
       "      <td>0.269203</td>\n",
       "      <td>0.208015</td>\n",
       "      <td>0.3</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>24.0</td>\n",
       "      <td>3.218876</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.000236</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.242302</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.172840</td>\n",
       "      <td>0.547998</td>\n",
       "      <td>0.782698</td>\n",
       "      <td>0.348962</td>\n",
       "      <td>0.104962</td>\n",
       "      <td>0.5</td>\n",
       "      <td>...</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>21.6</td>\n",
       "      <td>3.117950</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.000236</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.242302</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.172840</td>\n",
       "      <td>0.694386</td>\n",
       "      <td>0.599382</td>\n",
       "      <td>0.348962</td>\n",
       "      <td>0.104962</td>\n",
       "      <td>0.5</td>\n",
       "      <td>...</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>34.7</td>\n",
       "      <td>3.575151</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.000293</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.063050</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.150206</td>\n",
       "      <td>0.658555</td>\n",
       "      <td>0.441813</td>\n",
       "      <td>0.448545</td>\n",
       "      <td>0.066794</td>\n",
       "      <td>0.6</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>33.4</td>\n",
       "      <td>3.538057</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.000705</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.063050</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.150206</td>\n",
       "      <td>0.687105</td>\n",
       "      <td>0.528321</td>\n",
       "      <td>0.448545</td>\n",
       "      <td>0.066794</td>\n",
       "      <td>0.6</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>36.2</td>\n",
       "      <td>3.616309</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 23 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       CRIM    ZN     INDUS  CHAS       NOX        RM       AGE       DIS  \\\n",
       "0  0.000000  0.18  0.067815   0.0  0.314815  0.577505  0.641607  0.269203   \n",
       "1  0.000236  0.00  0.242302   0.0  0.172840  0.547998  0.782698  0.348962   \n",
       "2  0.000236  0.00  0.242302   0.0  0.172840  0.694386  0.599382  0.348962   \n",
       "3  0.000293  0.00  0.063050   0.0  0.150206  0.658555  0.441813  0.448545   \n",
       "4  0.000705  0.00  0.063050   0.0  0.150206  0.687105  0.528321  0.448545   \n",
       "\n",
       "        TAX  PTRATIO  ...  RAD_2  RAD_3  RAD_4  RAD_5  RAD_6  RAD_7  RAD_8  \\\n",
       "0  0.208015      0.3  ...      0      0      0      0      0      0      0   \n",
       "1  0.104962      0.5  ...      1      0      0      0      0      0      0   \n",
       "2  0.104962      0.5  ...      1      0      0      0      0      0      0   \n",
       "3  0.066794      0.6  ...      0      1      0      0      0      0      0   \n",
       "4  0.066794      0.6  ...      0      1      0      0      0      0      0   \n",
       "\n",
       "   RAD_24  MEDV  log_MEDV  \n",
       "0       0  24.0  3.218876  \n",
       "1       0  21.6  3.117950  \n",
       "2       0  34.7  3.575151  \n",
       "3       0  33.4  3.538057  \n",
       "4       0  36.2  3.616309  \n",
       "\n",
       "[5 rows x 23 columns]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "# path to where the data lies\n",
    "#dpath = './data/'\n",
    "df = pd.read_csv(\"FE_boston_housing.csv\")\n",
    "\n",
    "#通过观察前5行，了解数据每列（特征）的概况\n",
    "df.head()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\n",
    "# 从原始数据中分离输入特征x和输出y\n",
    "y = df[\"MEDV\"]\n",
    "\n",
    "X = df.drop([\"MEDV\", \"log_MEDV\"], axis = 1)\n",
    "\n",
    "#特征名称，用于后续显示权重系数对应的特征\n",
    "feat_names = X.columns\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(404, 21)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "#将数据分割训练数据与测试数据\n",
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "# 随机采样20%的数据构建测试样本，其余作为训练样本\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=33, test_size=0.2)\n",
    "X_train.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "####   尝试缺省参数的线性回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>coef</th>\n",
       "      <th>columns</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>20.356954</td>\n",
       "      <td>RM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>5.815739</td>\n",
       "      <td>ZN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>4.644938</td>\n",
       "      <td>RAD_24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>3.550457</td>\n",
       "      <td>B</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2.684704</td>\n",
       "      <td>CHAS</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>1.694896</td>\n",
       "      <td>RAD_7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>1.353203</td>\n",
       "      <td>RAD_8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>1.235936</td>\n",
       "      <td>RAD_3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.621810</td>\n",
       "      <td>INDUS</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>-0.055280</td>\n",
       "      <td>AGE</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>-0.391399</td>\n",
       "      <td>RAD_4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>-0.518265</td>\n",
       "      <td>RAD_5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>-1.843667</td>\n",
       "      <td>RAD_2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>-2.508106</td>\n",
       "      <td>RAD_6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>-3.667536</td>\n",
       "      <td>RAD_1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>-5.109656</td>\n",
       "      <td>TAX</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-6.819892</td>\n",
       "      <td>NOX</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>-8.455428</td>\n",
       "      <td>PTRATIO</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-9.984341</td>\n",
       "      <td>CRIM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>-17.381223</td>\n",
       "      <td>DIS</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>-21.450356</td>\n",
       "      <td>LSTAT</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         coef  columns\n",
       "5   20.356954       RM\n",
       "1    5.815739       ZN\n",
       "20   4.644938   RAD_24\n",
       "10   3.550457        B\n",
       "3    2.684704     CHAS\n",
       "18   1.694896    RAD_7\n",
       "19   1.353203    RAD_8\n",
       "14   1.235936    RAD_3\n",
       "2    0.621810    INDUS\n",
       "6   -0.055280      AGE\n",
       "15  -0.391399    RAD_4\n",
       "16  -0.518265    RAD_5\n",
       "13  -1.843667    RAD_2\n",
       "17  -2.508106    RAD_6\n",
       "12  -3.667536    RAD_1\n",
       "8   -5.109656      TAX\n",
       "4   -6.819892      NOX\n",
       "9   -8.455428  PTRATIO\n",
       "0   -9.984341     CRIM\n",
       "7  -17.381223      DIS\n",
       "11 -21.450356    LSTAT"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "# 线性回归\n",
    "#class sklearn.linear_model.LinearRegression(fit_intercept=True, normalize=False, copy_X=True, n_jobs=1)\n",
    "from sklearn.linear_model import LinearRegression\n",
    "\n",
    "# 1.使用默认配置初始化学习器实例\n",
    "lr = LinearRegression()\n",
    "\n",
    "# 2.用训练数据训练模型参数\n",
    "lr.fit(X_train, y_train)\n",
    "\n",
    "# 3. 用训练好的模型对测试集进行预测\n",
    "y_test_pred_lr = lr.predict(X_test)\n",
    "y_train_pred_lr = lr.predict(X_train)\n",
    "\n",
    "\n",
    "# 看看各特征的权重系数，系数的绝对值大小可视为该特征的重要性\n",
    "fs = pd.DataFrame({\"columns\":list(feat_names), \"coef\":list((lr.coef_.T))})\n",
    "fs.sort_values(by=['coef'],ascending=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r2 score of LinearRegression on test is 0.6939789810509476\n",
      "The r2 score of LinearRegression on train is 0.7549146436868177\n"
     ]
    }
   ],
   "source": [
    "\n",
    "# 使用r2_score评价模型在测试集和训练集上的性能，并输出评估结果\n",
    "#测试集\n",
    "print 'The r2 score of LinearRegression on test is', r2_score(y_test, y_test_pred_lr)\n",
    "#训练集\n",
    "print 'The r2 score of LinearRegression on train is', r2_score(y_train, y_train_pred_lr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAekAAAFsCAYAAADos0H8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQhnSkiQV6v8DuuSXJsQV9VwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "#在训练集上观察预测残差的分布，看是否符合模型假设：噪声为0均值的高斯噪声\n",
    "f, ax = plt.subplots(figsize=(7, 5)) \n",
    "f.tight_layout() \n",
    "ax.hist(y_train - y_train_pred_lr, bins=40, label='Residuals Linear', color='b', alpha=.5); \n",
    "ax.set_title(\"Histogram of Residuals\") \n",
    "ax.legend(loc='best');\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARgAAADQCAYAAADcQn7hAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "#还可以观察预测值与真值的散点图\n",
    "plt.figure(figsize=(4, 3))\n",
    "plt.scatter(y_train, y_train_pred_lr)\n",
    "plt.plot([-3, 3], [-3, 3], '--k')   #数据已经标准化，3倍标准差即可\n",
    "plt.axis('tight')\n",
    "plt.xlabel('True price')\n",
    "plt.ylabel('Predicted price')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 正则化的线性回归（L2正则 --> 岭回归）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r2 score of RidgeCV on test is 0.6961684813069751\n",
      "The r2 score of RidgeCV on train is 0.7548524440445545\n"
     ]
    }
   ],
   "source": [
    "\n",
    "#岭回归／L2正则\n",
    "#class sklearn.linear_model.RidgeCV(alphas=(0.1, 1.0, 10.0), fit_intercept=True, \n",
    "#                                  normalize=False, scoring=None, cv=None, gcv_mode=None, \n",
    "#                                  store_cv_values=False)\n",
    "from sklearn.linear_model import  RidgeCV\n",
    "\n",
    "#1. 设置超参数（正则参数）范围\n",
    "alphas = [ 0.01, 0.1, 1, 10,100]\n",
    "#n_alphas = 20\n",
    "#alphas = np.logspace(-5,2,n_alphas)\n",
    "\n",
    "#2. 生成一个RidgeCV实例\n",
    "ridge = RidgeCV(alphas=alphas, store_cv_values=True)  \n",
    "\n",
    "#3. 模型训练\n",
    "ridge.fit(X_train, y_train)    \n",
    "\n",
    "#4. 预测\n",
    "y_test_pred_ridge = ridge.predict(X_test)\n",
    "y_train_pred_ridge = ridge.predict(X_train)\n",
    "\n",
    "\n",
    "# 评估，使用r2_score评价模型在测试集和训练集上的性能\n",
    "print 'The r2 score of RidgeCV on test is', r2_score(y_test, y_test_pred_ridge)\n",
    "print 'The r2 score of RidgeCV on train is', r2_score(y_train, y_train_pred_ridge)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEKCAYAAAAfGVI8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('alpha is:', 0.1)\n"
     ]
    }
   ],
   "source": [
    "\n",
    "mse_mean = np.mean(ridge.cv_values_, axis = 0)\n",
    "plt.plot(np.log10(alphas), mse_mean.reshape(len(alphas),1)) \n",
    "\n",
    "#这是为了标出最佳参数的位置，不是必须\n",
    "#plt.plot(np.log10(ridge.alpha_)*np.ones(3), [0.28, 0.29, 0.30])\n",
    "\n",
    "plt.xlabel('log(alpha)')\n",
    "plt.ylabel('mse')\n",
    "plt.show()\n",
    "\n",
    "print ('alpha is:', ridge.alpha_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>coef_lr</th>\n",
       "      <th>coef_ridge</th>\n",
       "      <th>columns</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>20.356954</td>\n",
       "      <td>20.209673</td>\n",
       "      <td>RM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>5.815739</td>\n",
       "      <td>5.668449</td>\n",
       "      <td>ZN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>4.644938</td>\n",
       "      <td>4.495999</td>\n",
       "      <td>RAD_24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>3.550457</td>\n",
       "      <td>3.569715</td>\n",
       "      <td>B</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2.684704</td>\n",
       "      <td>2.703375</td>\n",
       "      <td>CHAS</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>1.694896</td>\n",
       "      <td>1.652060</td>\n",
       "      <td>RAD_7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>1.353203</td>\n",
       "      <td>1.369027</td>\n",
       "      <td>RAD_8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>1.235936</td>\n",
       "      <td>1.276021</td>\n",
       "      <td>RAD_3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.621810</td>\n",
       "      <td>0.517086</td>\n",
       "      <td>INDUS</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>-0.055280</td>\n",
       "      <td>-0.048454</td>\n",
       "      <td>AGE</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>-0.391399</td>\n",
       "      <td>-0.389052</td>\n",
       "      <td>RAD_4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>-0.518265</td>\n",
       "      <td>-0.503234</td>\n",
       "      <td>RAD_5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>-1.843667</td>\n",
       "      <td>-1.756881</td>\n",
       "      <td>RAD_2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>-2.508106</td>\n",
       "      <td>-2.495217</td>\n",
       "      <td>RAD_6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>-3.667536</td>\n",
       "      <td>-3.648724</td>\n",
       "      <td>RAD_1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>-5.109656</td>\n",
       "      <td>-4.958641</td>\n",
       "      <td>TAX</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-6.819892</td>\n",
       "      <td>-6.565940</td>\n",
       "      <td>NOX</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>-8.455428</td>\n",
       "      <td>-8.431607</td>\n",
       "      <td>PTRATIO</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-9.984341</td>\n",
       "      <td>-9.567877</td>\n",
       "      <td>CRIM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>-17.381223</td>\n",
       "      <td>-16.868997</td>\n",
       "      <td>DIS</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>-21.450356</td>\n",
       "      <td>-21.357121</td>\n",
       "      <td>LSTAT</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      coef_lr  coef_ridge  columns\n",
       "5   20.356954   20.209673       RM\n",
       "1    5.815739    5.668449       ZN\n",
       "20   4.644938    4.495999   RAD_24\n",
       "10   3.550457    3.569715        B\n",
       "3    2.684704    2.703375     CHAS\n",
       "18   1.694896    1.652060    RAD_7\n",
       "19   1.353203    1.369027    RAD_8\n",
       "14   1.235936    1.276021    RAD_3\n",
       "2    0.621810    0.517086    INDUS\n",
       "6   -0.055280   -0.048454      AGE\n",
       "15  -0.391399   -0.389052    RAD_4\n",
       "16  -0.518265   -0.503234    RAD_5\n",
       "13  -1.843667   -1.756881    RAD_2\n",
       "17  -2.508106   -2.495217    RAD_6\n",
       "12  -3.667536   -3.648724    RAD_1\n",
       "8   -5.109656   -4.958641      TAX\n",
       "4   -6.819892   -6.565940      NOX\n",
       "9   -8.455428   -8.431607  PTRATIO\n",
       "0   -9.984341   -9.567877     CRIM\n",
       "7  -17.381223  -16.868997      DIS\n",
       "11 -21.450356  -21.357121    LSTAT"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "# 看看各特征的权重系数，系数的绝对值大小可视为该特征的重要性\n",
    "fs = pd.DataFrame({\"columns\":list(feat_names), \"coef_lr\":list((lr.coef_.T)), \"coef_ridge\":list((ridge.coef_.T))})\n",
    "fs.sort_values(by=['coef_lr'],ascending=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 正则化的线性回归（L1正则 --> Lasso）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LassoCV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r2_score of lassoCV on test is 0.6939789810509476\n",
      "The r2_score of lassoCV on train is 0.7549146436868177\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\ProgramData\\Anaconda3\\envs\\py2\\lib\\site-packages\\sklearn\\model_selection\\_split.py:2052: FutureWarning: You should specify a value for 'cv' instead of relying on the default value. The default value will change from 3 to 5 in version 0.22.\n",
      "  warnings.warn(CV_WARNING, FutureWarning)\n"
     ]
    }
   ],
   "source": [
    "lasso = LassoCV()\n",
    "lasso.fit(X_train, y_train)\n",
    "\n",
    "y_test_pred_lasso = lr.predict(X_test)\n",
    "y_train_pred_lasso = lr.predict(X_train)\n",
    "\n",
    "print 'The r2_score of lassoCV on test is', r2_score(y_test, y_test_pred_lasso)\n",
    "print 'The r2_score of lassoCV on train is', r2_score(y_train, y_train_pred_lasso)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAELCAYAAADURYGZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFAQiIlnu/wMP8tZiE+yz5gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('alpha is:', 0.0013884165768061959)\n"
     ]
    }
   ],
   "source": [
    "\n",
    "\n",
    "mses = np.mean(lasso.mse_path_, axis = 1)\n",
    "plt.plot(np.log10(lasso.alphas_), mses) \n",
    "#plt.plot(np.log10(lasso.alphas_)*np.ones(3), [0.3, 0.4, 1.0])\n",
    "plt.xlabel('log(alpha)')\n",
    "plt.ylabel('mse')\n",
    "plt.show()    \n",
    "            \n",
    "print ('alpha is:', lasso.alpha_)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>coef_lasso</th>\n",
       "      <th>coef_lr</th>\n",
       "      <th>coef_ridge</th>\n",
       "      <th>columns</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>20.349884</td>\n",
       "      <td>20.356954</td>\n",
       "      <td>20.209673</td>\n",
       "      <td>RM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>5.690495</td>\n",
       "      <td>5.815739</td>\n",
       "      <td>5.668449</td>\n",
       "      <td>ZN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>4.849636</td>\n",
       "      <td>4.644938</td>\n",
       "      <td>4.495999</td>\n",
       "      <td>RAD_24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>3.527686</td>\n",
       "      <td>3.550457</td>\n",
       "      <td>3.569715</td>\n",
       "      <td>B</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2.693696</td>\n",
       "      <td>2.684704</td>\n",
       "      <td>2.703375</td>\n",
       "      <td>CHAS</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>2.018658</td>\n",
       "      <td>1.694896</td>\n",
       "      <td>1.652060</td>\n",
       "      <td>RAD_7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>1.697906</td>\n",
       "      <td>1.353203</td>\n",
       "      <td>1.369027</td>\n",
       "      <td>RAD_8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>1.631360</td>\n",
       "      <td>1.235936</td>\n",
       "      <td>1.276021</td>\n",
       "      <td>RAD_3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.422357</td>\n",
       "      <td>0.621810</td>\n",
       "      <td>0.517086</td>\n",
       "      <td>INDUS</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>-0.024262</td>\n",
       "      <td>-0.055280</td>\n",
       "      <td>-0.048454</td>\n",
       "      <td>AGE</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>-0.000000</td>\n",
       "      <td>-0.391399</td>\n",
       "      <td>-0.389052</td>\n",
       "      <td>RAD_4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>-0.126658</td>\n",
       "      <td>-0.518265</td>\n",
       "      <td>-0.503234</td>\n",
       "      <td>RAD_5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>-1.365961</td>\n",
       "      <td>-1.843667</td>\n",
       "      <td>-1.756881</td>\n",
       "      <td>RAD_2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>-2.113486</td>\n",
       "      <td>-2.508106</td>\n",
       "      <td>-2.495217</td>\n",
       "      <td>RAD_6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>-3.236791</td>\n",
       "      <td>-3.667536</td>\n",
       "      <td>-3.648724</td>\n",
       "      <td>RAD_1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>-4.872897</td>\n",
       "      <td>-5.109656</td>\n",
       "      <td>-4.958641</td>\n",
       "      <td>TAX</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-6.632717</td>\n",
       "      <td>-6.819892</td>\n",
       "      <td>-6.565940</td>\n",
       "      <td>NOX</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>-8.400752</td>\n",
       "      <td>-8.455428</td>\n",
       "      <td>-8.431607</td>\n",
       "      <td>PTRATIO</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-9.708141</td>\n",
       "      <td>-9.984341</td>\n",
       "      <td>-9.567877</td>\n",
       "      <td>CRIM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>-17.122870</td>\n",
       "      <td>-17.381223</td>\n",
       "      <td>-16.868997</td>\n",
       "      <td>DIS</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>-21.473748</td>\n",
       "      <td>-21.450356</td>\n",
       "      <td>-21.357121</td>\n",
       "      <td>LSTAT</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    coef_lasso    coef_lr  coef_ridge  columns\n",
       "5    20.349884  20.356954   20.209673       RM\n",
       "1     5.690495   5.815739    5.668449       ZN\n",
       "20    4.849636   4.644938    4.495999   RAD_24\n",
       "10    3.527686   3.550457    3.569715        B\n",
       "3     2.693696   2.684704    2.703375     CHAS\n",
       "18    2.018658   1.694896    1.652060    RAD_7\n",
       "19    1.697906   1.353203    1.369027    RAD_8\n",
       "14    1.631360   1.235936    1.276021    RAD_3\n",
       "2     0.422357   0.621810    0.517086    INDUS\n",
       "6    -0.024262  -0.055280   -0.048454      AGE\n",
       "15   -0.000000  -0.391399   -0.389052    RAD_4\n",
       "16   -0.126658  -0.518265   -0.503234    RAD_5\n",
       "13   -1.365961  -1.843667   -1.756881    RAD_2\n",
       "17   -2.113486  -2.508106   -2.495217    RAD_6\n",
       "12   -3.236791  -3.667536   -3.648724    RAD_1\n",
       "8    -4.872897  -5.109656   -4.958641      TAX\n",
       "4    -6.632717  -6.819892   -6.565940      NOX\n",
       "9    -8.400752  -8.455428   -8.431607  PTRATIO\n",
       "0    -9.708141  -9.984341   -9.567877     CRIM\n",
       "7   -17.122870 -17.381223  -16.868997      DIS\n",
       "11  -21.473748 -21.450356  -21.357121    LSTAT"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "# 看看各特征的权重系数，系数的绝对值大小可视为该特征的重要性\n",
    "fs = pd.DataFrame({\"columns\":list(feat_names), \"coef_lr\":list((lr.coef_.T)), \"coef_ridge\":list((ridge.coef_.T)), \"coef_lasso\":list((lasso.coef_.T))})\n",
    "fs.sort_values(by=['coef_lr'],ascending=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5. 代码中给出了岭回归（RidgeCV）和Lasso（LassoCV）超参数（alpha_）调优的过程，请结合两个最佳模型以及最小二乘线性回归模型的结果，给出什么场合应该用岭回归，什么场合用Lasso，什么场合用最小二乘。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "岭回归是当数据遭受多重共线性（独立变量高度相关）时使用的一种技术。在多重共线性中，即使最小二乘估计（OLS）是无偏差的，但是方差很大，使得观察智远离真实值。岭回归通过给回归估计中增加额外的偏差度，能够有效减少方差。\n",
    "\n",
    "    1.除非不假定正态性，岭回归与最小二乘回归的所有假设是一样的。\n",
    "    2.岭回归缩小了系数的值，但没有达到零，这表明它没有特征选择特征。\n",
    "    3.这是一个正则化方法，使用了 L2 正则化。\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lasso回归惩罚的是回归系数的绝对值。此外，它能够减少变异性和提高线性回归模型的准确性。\n",
    "Lasso套索回归不同于岭回归，惩罚函数它使用的是系数的绝对值之和，而不是平方。这导致惩罚项（或等价于约束估计的绝对值之和），使得一些回归系数估计恰好为零。施加的惩罚越大，估计就越接近零。实现从 n 个变量中进行选择。\n",
    "\n",
    "    1.除非不假定正态性，套索回归与最小二乘回归的所有假设是一样的。\n",
    "    2.套索回归将系数收缩到零（正好为零），有助于特征选择。\n",
    "    3.这是一个正则化方法，使用了 L1 正则化。\n",
    "    4.如果一组自变量高度相关，那么套索回归只会选择其中一个，而将其余的缩小为零。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "最小二乘法是一种拟合回归线的常用算法。它通过最小化每个数据点与预测直线的垂直误差的平方和来计算得到最佳拟合直线。因为计算的是误差平方和，所有，误差正负值之间没有相互抵消。\n",
    "\n",
    "\n",
    "    1.自变量和因变量之间必须满足线性关系。\n",
    "    2.多元回归存在多重共线性，自相关性和异方差性。\n",
    "    3.线性回归对异常值非常敏感。异常值会严重影响回归线和最终的预测值。\n",
    "    4.多重共线性会增加系数估计的方差，并且使得估计对模型中的微小变化非常敏感。结果是系数估计不稳定。\n",
    "    5.在多个自变量的情况下，我们可以采用正向选择、向后消除和逐步选择的方法来选择最重要的自变量。\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
